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Finding the Fourth Proportional to 402,381.60, 603,572.28 and 102,862.80

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Solution

The fourth proportional to 402,381.60, 603,572.28 and 102,862.80 is: 154,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,381.60 : 603,572.28 = 102,862.80 : x
  2. Step 2: Convert to fraction form
    402,381.60/603,572.28 = 102,862.80/x
  3. Step 3: Cross multiply
    402,381.60x = 603,572.28 × 102,862.80
  4. Step 4: Simplify right side
    402,381.60x = 62,085,134,723.18
  5. Step 5: Solve for x
    x = 62,085,134,723.18/402,381.60
  6. Step 6: Final answer
    x = 154,294.17

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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.