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Finding the Fourth Proportional to 524,956.10, 787,434.15 and 419,980.10

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Solution

The fourth proportional to 524,956.10, 787,434.15 and 419,980.10 is: 629,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,956.10 : 787,434.15 = 419,980.10 : x
  2. Step 2: Convert to fraction form
    524,956.10/787,434.15 = 419,980.10/x
  3. Step 3: Cross multiply
    524,956.10x = 787,434.15 × 419,980.10
  4. Step 4: Simplify right side
    524,956.10x = 330,706,673,060.42
  5. Step 5: Solve for x
    x = 330,706,673,060.42/524,956.10
  6. Step 6: Final answer
    x = 629,970.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.