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Finding the Fourth Proportional to 392,830.29, 542,151.77 and 220,748.49

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Solution

The fourth proportional to 392,830.29, 542,151.77 and 220,748.49 is: 304,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,830.29 : 542,151.77 = 220,748.49 : x
  2. Step 2: Convert to fraction form
    392,830.29/542,151.77 = 220,748.49/x
  3. Step 3: Cross multiply
    392,830.29x = 542,151.77 × 220,748.49
  4. Step 4: Simplify right side
    392,830.29x = 119,679,183,474.59
  5. Step 5: Solve for x
    x = 119,679,183,474.59/392,830.29
  6. Step 6: Final answer
    x = 304,658.75

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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.