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Finding the Fourth Proportional to 462,405.75, 693,608.64 and 129,981.75

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Solution

The fourth proportional to 462,405.75, 693,608.64 and 129,981.75 is: 194,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,405.75 : 693,608.64 = 129,981.75 : x
  2. Step 2: Convert to fraction form
    462,405.75/693,608.64 = 129,981.75/x
  3. Step 3: Cross multiply
    462,405.75x = 693,608.64 × 129,981.75
  4. Step 4: Simplify right side
    462,405.75x = 90,156,464,842.32
  5. Step 5: Solve for x
    x = 90,156,464,842.32/462,405.75
  6. Step 6: Final answer
    x = 194,972.63

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Similar ratio
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1.5x scale

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.