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Finding the Fourth Proportional to 402,204.68, 603,306.48 and 102,685.28

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Solution

The fourth proportional to 402,204.68, 603,306.48 and 102,685.28 is: 154,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,204.68 : 603,306.48 = 102,685.28 : x
  2. Step 2: Convert to fraction form
    402,204.68/603,306.48 = 102,685.28/x
  3. Step 3: Cross multiply
    402,204.68x = 603,306.48 × 102,685.28
  4. Step 4: Simplify right side
    402,204.68x = 61,950,694,824.61
  5. Step 5: Solve for x
    x = 61,950,694,824.61/402,204.68
  6. Step 6: Final answer
    x = 154,027.78

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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.