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Finding the Fourth Proportional to 292,529.40, 438,876.72 and 82,169.16

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Solution

The fourth proportional to 292,529.40, 438,876.72 and 82,169.16 is: 123,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,529.40 : 438,876.72 = 82,169.16 : x
  2. Step 2: Convert to fraction form
    292,529.40/438,876.72 = 82,169.16/x
  3. Step 3: Cross multiply
    292,529.40x = 438,876.72 × 82,169.16
  4. Step 4: Simplify right side
    292,529.40x = 36,062,131,425.96
  5. Step 5: Solve for x
    x = 36,062,131,425.96/292,529.40
  6. Step 6: Final answer
    x = 123,276.95

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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.