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Finding the Fourth Proportional to 492,453.92, 738,688.28 and 137,469.80

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Solution

The fourth proportional to 492,453.92, 738,688.28 and 137,469.80 is: 206,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,453.92 : 738,688.28 = 137,469.80 : x
  2. Step 2: Convert to fraction form
    492,453.92/738,688.28 = 137,469.80/x
  3. Step 3: Cross multiply
    492,453.92x = 738,688.28 × 137,469.80
  4. Step 4: Simplify right side
    492,453.92x = 101,547,331,273.32
  5. Step 5: Solve for x
    x = 101,547,331,273.32/492,453.92
  6. Step 6: Final answer
    x = 206,206.77

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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.