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Finding the Fourth Proportional to 392,829.82, 542,114.78 and 220,737.47

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Solution

The fourth proportional to 392,829.82, 542,114.78 and 220,737.47 is: 304,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,829.82 : 542,114.78 = 220,737.47 : x
  2. Step 2: Convert to fraction form
    392,829.82/542,114.78 = 220,737.47/x
  3. Step 3: Cross multiply
    392,829.82x = 542,114.78 × 220,737.47
  4. Step 4: Simplify right side
    392,829.82x = 119,665,045,745.47
  5. Step 5: Solve for x
    x = 119,665,045,745.47/392,829.82
  6. Step 6: Final answer
    x = 304,623.12

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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.