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Finding the Fourth Proportional to 421,534.62, 632,260.89 and 231,932.66

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Solution

The fourth proportional to 421,534.62, 632,260.89 and 231,932.66 is: 347,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,534.62 : 632,260.89 = 231,932.66 : x
  2. Step 2: Convert to fraction form
    421,534.62/632,260.89 = 231,932.66/x
  3. Step 3: Cross multiply
    421,534.62x = 632,260.89 × 231,932.66
  4. Step 4: Simplify right side
    421,534.62x = 146,641,946,870.36
  5. Step 5: Solve for x
    x = 146,641,946,870.36/421,534.62
  6. Step 6: Final answer
    x = 347,876.40

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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.