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Finding the Fourth Proportional to 457,292.71, 685,974.56 and 137,419.62

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Solution

The fourth proportional to 457,292.71, 685,974.56 and 137,419.62 is: 206,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,292.71 : 685,974.56 = 137,419.62 : x
  2. Step 2: Convert to fraction form
    457,292.71/685,974.56 = 137,419.62/x
  3. Step 3: Cross multiply
    457,292.71x = 685,974.56 × 137,419.62
  4. Step 4: Simplify right side
    457,292.71x = 94,266,360,105.36
  5. Step 5: Solve for x
    x = 94,266,360,105.36/457,292.71
  6. Step 6: Final answer
    x = 206,140.09

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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.