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Finding the Fourth Proportional to 292,613.80, 438,920.70 and 82,251.74

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Solution

The fourth proportional to 292,613.80, 438,920.70 and 82,251.74 is: 123,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,613.80 : 438,920.70 = 82,251.74 : x
  2. Step 2: Convert to fraction form
    292,613.80/438,920.70 = 82,251.74/x
  3. Step 3: Cross multiply
    292,613.80x = 438,920.70 × 82,251.74
  4. Step 4: Simplify right side
    292,613.80x = 36,101,989,102.41
  5. Step 5: Solve for x
    x = 36,101,989,102.41/292,613.80
  6. Step 6: Final answer
    x = 123,377.60

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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.