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Finding the Fourth Proportional to 292,380.87, 438,218.13 and 142,396.41

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Solution

The fourth proportional to 292,380.87, 438,218.13 and 142,396.41 is: 213,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,380.87 : 438,218.13 = 142,396.41 : x
  2. Step 2: Convert to fraction form
    292,380.87/438,218.13 = 142,396.41/x
  3. Step 3: Cross multiply
    292,380.87x = 438,218.13 × 142,396.41
  4. Step 4: Simplify right side
    292,380.87x = 62,400,688,508.91
  5. Step 5: Solve for x
    x = 62,400,688,508.91/292,380.87
  6. Step 6: Final answer
    x = 213,422.61

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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.