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Finding the Fourth Proportional to 421,432.52, 632,078.22 and 140,948.84

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Solution

The fourth proportional to 421,432.52, 632,078.22 and 140,948.84 is: 211,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,432.52 : 632,078.22 = 140,948.84 : x
  2. Step 2: Convert to fraction form
    421,432.52/632,078.22 = 140,948.84/x
  3. Step 3: Cross multiply
    421,432.52x = 632,078.22 × 140,948.84
  4. Step 4: Simplify right side
    421,432.52x = 89,090,691,898.26
  5. Step 5: Solve for x
    x = 89,090,691,898.26/421,432.52
  6. Step 6: Final answer
    x = 211,399.66

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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.