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Finding the Fourth Proportional to 393,047.76, 542,339.62 and 220,943

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Solution

The fourth proportional to 393,047.76, 542,339.62 and 220,943 is: 304,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,047.76 : 542,339.62 = 220,943 : x
  2. Step 2: Convert to fraction form
    393,047.76/542,339.62 = 220,943/x
  3. Step 3: Cross multiply
    393,047.76x = 542,339.62 × 220,943
  4. Step 4: Simplify right side
    393,047.76x = 119,826,142,661.66
  5. Step 5: Solve for x
    x = 119,826,142,661.66/393,047.76
  6. Step 6: Final answer
    x = 304,864.08

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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.