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Finding the Fourth Proportional to 475,452.28, 713,288.82 and 138,500.92

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Solution

The fourth proportional to 475,452.28, 713,288.82 and 138,500.92 is: 207,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,452.28 : 713,288.82 = 138,500.92 : x
  2. Step 2: Convert to fraction form
    475,452.28/713,288.82 = 138,500.92/x
  3. Step 3: Cross multiply
    475,452.28x = 713,288.82 × 138,500.92
  4. Step 4: Simplify right side
    475,452.28x = 98,791,157,795.71
  5. Step 5: Solve for x
    x = 98,791,157,795.71/475,452.28
  6. Step 6: Final answer
    x = 207,783.54

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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.