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Finding the Fourth Proportional to 356,083.47, 534,123.56 and 145,721.43

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Solution

The fourth proportional to 356,083.47, 534,123.56 and 145,721.43 is: 218,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,083.47 : 534,123.56 = 145,721.43 : x
  2. Step 2: Convert to fraction form
    356,083.47/534,123.56 = 145,721.43/x
  3. Step 3: Cross multiply
    356,083.47x = 534,123.56 × 145,721.43
  4. Step 4: Simplify right side
    356,083.47x = 77,833,248,231.28
  5. Step 5: Solve for x
    x = 77,833,248,231.28/356,083.47
  6. Step 6: Final answer
    x = 218,581.47

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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.