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Finding the Fourth Proportional to 392,780.41, 542,083.20 and 220,698.74

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Solution

The fourth proportional to 392,780.41, 542,083.20 and 220,698.74 is: 304,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,780.41 : 542,083.20 = 220,698.74 : x
  2. Step 2: Convert to fraction form
    392,780.41/542,083.20 = 220,698.74/x
  3. Step 3: Cross multiply
    392,780.41x = 542,083.20 × 220,698.74
  4. Step 4: Simplify right side
    392,780.41x = 119,637,079,215.17
  5. Step 5: Solve for x
    x = 119,637,079,215.17/392,780.41
  6. Step 6: Final answer
    x = 304,590.24

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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.