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Finding the Fourth Proportional to 421,723.64, 632,439.66 and 137,340.74

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Solution

The fourth proportional to 421,723.64, 632,439.66 and 137,340.74 is: 205,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,723.64 : 632,439.66 = 137,340.74 : x
  2. Step 2: Convert to fraction form
    421,723.64/632,439.66 = 137,340.74/x
  3. Step 3: Cross multiply
    421,723.64x = 632,439.66 × 137,340.74
  4. Step 4: Simplify right side
    421,723.64x = 86,859,730,909.75
  5. Step 5: Solve for x
    x = 86,859,730,909.75/421,723.64
  6. Step 6: Final answer
    x = 205,963.63

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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.