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Finding the Fourth Proportional to 393,039.53, 542,364.71 and 220,930.11

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Solution

The fourth proportional to 393,039.53, 542,364.71 and 220,930.11 is: 304,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,039.53 : 542,364.71 = 220,930.11 : x
  2. Step 2: Convert to fraction form
    393,039.53/542,364.71 = 220,930.11/x
  3. Step 3: Cross multiply
    393,039.53x = 542,364.71 × 220,930.11
  4. Step 4: Simplify right side
    393,039.53x = 119,824,693,935.77
  5. Step 5: Solve for x
    x = 119,824,693,935.77/393,039.53
  6. Step 6: Final answer
    x = 304,866.78

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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.