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Finding the Fourth Proportional to 492,416.12, 738,478.38 and 137,344.52

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Solution

The fourth proportional to 492,416.12, 738,478.38 and 137,344.52 is: 205,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,416.12 : 738,478.38 = 137,344.52 : x
  2. Step 2: Convert to fraction form
    492,416.12/738,478.38 = 137,344.52/x
  3. Step 3: Cross multiply
    492,416.12x = 738,478.38 × 137,344.52
  4. Step 4: Simplify right side
    492,416.12x = 101,425,958,631.48
  5. Step 5: Solve for x
    x = 101,425,958,631.48/492,416.12
  6. Step 6: Final answer
    x = 205,976.11

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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.