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Finding the Fourth Proportional to 392,828.91, 542,063.51 and 220,719.53

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Solution

The fourth proportional to 392,828.91, 542,063.51 and 220,719.53 is: 304,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,828.91 : 542,063.51 = 220,719.53 : x
  2. Step 2: Convert to fraction form
    392,828.91/542,063.51 = 220,719.53/x
  3. Step 3: Cross multiply
    392,828.91x = 542,063.51 × 220,719.53
  4. Step 4: Simplify right side
    392,828.91x = 119,644,001,376.17
  5. Step 5: Solve for x
    x = 119,644,001,376.17/392,828.91
  6. Step 6: Final answer
    x = 304,570.26

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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.