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Finding the Fourth Proportional to 457,136.50, 685,572.36 and 137,275.46

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Solution

The fourth proportional to 457,136.50, 685,572.36 and 137,275.46 is: 205,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,136.50 : 685,572.36 = 137,275.46 : x
  2. Step 2: Convert to fraction form
    457,136.50/685,572.36 = 137,275.46/x
  3. Step 3: Cross multiply
    457,136.50x = 685,572.36 × 137,275.46
  4. Step 4: Simplify right side
    457,136.50x = 94,112,261,082.29
  5. Step 5: Solve for x
    x = 94,112,261,082.29/457,136.50
  6. Step 6: Final answer
    x = 205,873.43

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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.