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Finding the Fourth Proportional to 393,039.18, 542,326.46 and 220,933.28

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Solution

The fourth proportional to 393,039.18, 542,326.46 and 220,933.28 is: 304,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,039.18 : 542,326.46 = 220,933.28 : x
  2. Step 2: Convert to fraction form
    393,039.18/542,326.46 = 220,933.28/x
  3. Step 3: Cross multiply
    393,039.18x = 542,326.46 × 220,933.28
  4. Step 4: Simplify right side
    393,039.18x = 119,817,963,638.59
  5. Step 5: Solve for x
    x = 119,817,963,638.59/393,039.18
  6. Step 6: Final answer
    x = 304,849.92

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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.