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Finding the Fourth Proportional to 421,987.86, 632,850.57 and 141,439.50

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Solution

The fourth proportional to 421,987.86, 632,850.57 and 141,439.50 is: 212,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,987.86 : 632,850.57 = 141,439.50 : x
  2. Step 2: Convert to fraction form
    421,987.86/632,850.57 = 141,439.50/x
  3. Step 3: Cross multiply
    421,987.86x = 632,850.57 × 141,439.50
  4. Step 4: Simplify right side
    421,987.86x = 89,510,068,195.52
  5. Step 5: Solve for x
    x = 89,510,068,195.52/421,987.86
  6. Step 6: Final answer
    x = 212,115.27

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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.