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Finding the Fourth Proportional to 402,505.82, 554,872.70 and 281,270.82

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Solution

The fourth proportional to 402,505.82, 554,872.70 and 281,270.82 is: 387,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,505.82 : 554,872.70 = 281,270.82 : x
  2. Step 2: Convert to fraction form
    402,505.82/554,872.70 = 281,270.82/x
  3. Step 3: Cross multiply
    402,505.82x = 554,872.70 × 281,270.82
  4. Step 4: Simplify right side
    402,505.82x = 156,069,499,324.61
  5. Step 5: Solve for x
    x = 156,069,499,324.61/402,505.82
  6. Step 6: Final answer
    x = 387,744.70

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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.