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Finding the Fourth Proportional to 421,859.14, 632,854.32 and 141,310.78

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Solution

The fourth proportional to 421,859.14, 632,854.32 and 141,310.78 is: 211,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,859.14 : 632,854.32 = 141,310.78 : x
  2. Step 2: Convert to fraction form
    421,859.14/632,854.32 = 141,310.78/x
  3. Step 3: Cross multiply
    421,859.14x = 632,854.32 × 141,310.78
  4. Step 4: Simplify right side
    421,859.14x = 89,429,135,473.52
  5. Step 5: Solve for x
    x = 89,429,135,473.52/421,859.14
  6. Step 6: Final answer
    x = 211,988.14

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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.