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Finding the Fourth Proportional to 520,659.58, 780,097.82 and 284,168.20

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Solution

The fourth proportional to 520,659.58, 780,097.82 and 284,168.20 is: 425,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,659.58 : 780,097.82 = 284,168.20 : x
  2. Step 2: Convert to fraction form
    520,659.58/780,097.82 = 284,168.20/x
  3. Step 3: Cross multiply
    520,659.58x = 780,097.82 × 284,168.20
  4. Step 4: Simplify right side
    520,659.58x = 221,678,993,333.32
  5. Step 5: Solve for x
    x = 221,678,993,333.32/520,659.58
  6. Step 6: Final answer
    x = 425,765.71

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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.