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Finding the Fourth Proportional to 482,769.68, 724,159.84 and 145,813.20

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Solution

The fourth proportional to 482,769.68, 724,159.84 and 145,813.20 is: 218,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,769.68 : 724,159.84 = 145,813.20 : x
  2. Step 2: Convert to fraction form
    482,769.68/724,159.84 = 145,813.20/x
  3. Step 3: Cross multiply
    482,769.68x = 724,159.84 × 145,813.20
  4. Step 4: Simplify right side
    482,769.68x = 105,592,063,581.89
  5. Step 5: Solve for x
    x = 105,592,063,581.89/482,769.68
  6. Step 6: Final answer
    x = 218,721.41

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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.