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Finding the Fourth Proportional to 421,685.88, 632,528.04 and 137,376.09

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Solution

The fourth proportional to 421,685.88, 632,528.04 and 137,376.09 is: 206,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,685.88 : 632,528.04 = 137,376.09 : x
  2. Step 2: Convert to fraction form
    421,685.88/632,528.04 = 137,376.09/x
  3. Step 3: Cross multiply
    421,685.88x = 632,528.04 × 137,376.09
  4. Step 4: Simplify right side
    421,685.88x = 86,894,229,465.72
  5. Step 5: Solve for x
    x = 86,894,229,465.72/421,685.88
  6. Step 6: Final answer
    x = 206,063.88

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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.