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Finding the Fourth Proportional to 453,499.20, 680,223.60 and 137,931.30

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Solution

The fourth proportional to 453,499.20, 680,223.60 and 137,931.30 is: 206,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,499.20 : 680,223.60 = 137,931.30 : x
  2. Step 2: Convert to fraction form
    453,499.20/680,223.60 = 137,931.30/x
  3. Step 3: Cross multiply
    453,499.20x = 680,223.60 × 137,931.30
  4. Step 4: Simplify right side
    453,499.20x = 93,824,125,438.68
  5. Step 5: Solve for x
    x = 93,824,125,438.68/453,499.20
  6. Step 6: Final answer
    x = 206,889.29

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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.