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Finding the Fourth Proportional to 738,843.14, 1,019,117.84 and 509,410.10

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Solution

The fourth proportional to 738,843.14, 1,019,117.84 and 509,410.10 is: 702,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,843.14 : 1,019,117.84 = 509,410.10 : x
  2. Step 2: Convert to fraction form
    738,843.14/1,019,117.84 = 509,410.10/x
  3. Step 3: Cross multiply
    738,843.14x = 1,019,117.84 × 509,410.10
  4. Step 4: Simplify right side
    738,843.14x = 519,148,920,786.18
  5. Step 5: Solve for x
    x = 519,148,920,786.18/738,843.14
  6. Step 6: Final answer
    x = 702,651.07

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.