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Finding the Fourth Proportional to 402,428.70, 603,643.05 and 260,711.10

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Solution

The fourth proportional to 402,428.70, 603,643.05 and 260,711.10 is: 391,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,428.70 : 603,643.05 = 260,711.10 : x
  2. Step 2: Convert to fraction form
    402,428.70/603,643.05 = 260,711.10/x
  3. Step 3: Cross multiply
    402,428.70x = 603,643.05 × 260,711.10
  4. Step 4: Simplify right side
    402,428.70x = 157,376,443,572.86
  5. Step 5: Solve for x
    x = 157,376,443,572.86/402,428.70
  6. Step 6: Final answer
    x = 391,066.65

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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.