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Finding the Fourth Proportional to 605,411.40, 910,085.40 and 429,139.20

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Solution

The fourth proportional to 605,411.40, 910,085.40 and 429,139.20 is: 645,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,411.40 : 910,085.40 = 429,139.20 : x
  2. Step 2: Convert to fraction form
    605,411.40/910,085.40 = 429,139.20/x
  3. Step 3: Cross multiply
    605,411.40x = 910,085.40 × 429,139.20
  4. Step 4: Simplify right side
    605,411.40x = 390,553,320,487.68
  5. Step 5: Solve for x
    x = 390,553,320,487.68/605,411.40
  6. Step 6: Final answer
    x = 645,104.01

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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.