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Finding the Fourth Proportional to 261,764.70, 392,702.85 and 149,498.70

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Solution

The fourth proportional to 261,764.70, 392,702.85 and 149,498.70 is: 224,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,764.70 : 392,702.85 = 149,498.70 : x
  2. Step 2: Convert to fraction form
    261,764.70/392,702.85 = 149,498.70/x
  3. Step 3: Cross multiply
    261,764.70x = 392,702.85 × 149,498.70
  4. Step 4: Simplify right side
    261,764.70x = 58,708,565,561.30
  5. Step 5: Solve for x
    x = 58,708,565,561.30/261,764.70
  6. Step 6: Final answer
    x = 224,279.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.