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Finding the Fourth Proportional to 292,115.52, 438,176.16 and 92,432.16

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Solution

The fourth proportional to 292,115.52, 438,176.16 and 92,432.16 is: 138,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,115.52 : 438,176.16 = 92,432.16 : x
  2. Step 2: Convert to fraction form
    292,115.52/438,176.16 = 92,432.16/x
  3. Step 3: Cross multiply
    292,115.52x = 438,176.16 × 92,432.16
  4. Step 4: Simplify right side
    292,115.52x = 40,501,568,929.31
  5. Step 5: Solve for x
    x = 40,501,568,929.31/292,115.52
  6. Step 6: Final answer
    x = 138,649.15

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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.