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Finding the Fourth Proportional to 402,507.81, 554,875.44 and 281,272.83

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Solution

The fourth proportional to 402,507.81, 554,875.44 and 281,272.83 is: 387,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,507.81 : 554,875.44 = 281,272.83 : x
  2. Step 2: Convert to fraction form
    402,507.81/554,875.44 = 281,272.83/x
  3. Step 3: Cross multiply
    402,507.81x = 554,875.44 × 281,272.83
  4. Step 4: Simplify right side
    402,507.81x = 156,071,385,306.30
  5. Step 5: Solve for x
    x = 156,071,385,306.30/402,507.81
  6. Step 6: Final answer
    x = 387,747.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.