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Finding the Fourth Proportional to 392,898.95, 542,105.97 and 229,462.77

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Solution

The fourth proportional to 392,898.95, 542,105.97 and 229,462.77 is: 316,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898.95 : 542,105.97 = 229,462.77 : x
  2. Step 2: Convert to fraction form
    392,898.95/542,105.97 = 229,462.77/x
  3. Step 3: Cross multiply
    392,898.95x = 542,105.97 × 229,462.77
  4. Step 4: Simplify right side
    392,898.95x = 124,393,138,682.15
  5. Step 5: Solve for x
    x = 124,393,138,682.15/392,898.95
  6. Step 6: Final answer
    x = 316,603.38

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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.