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Finding the Fourth Proportional to 456,854.30, 685,437.12 and 137,013.92

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Solution

The fourth proportional to 456,854.30, 685,437.12 and 137,013.92 is: 205,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,854.30 : 685,437.12 = 137,013.92 : x
  2. Step 2: Convert to fraction form
    456,854.30/685,437.12 = 137,013.92/x
  3. Step 3: Cross multiply
    456,854.30x = 685,437.12 × 137,013.92
  4. Step 4: Simplify right side
    456,854.30x = 93,914,423,297.52
  5. Step 5: Solve for x
    x = 93,914,423,297.52/456,854.30
  6. Step 6: Final answer
    x = 205,567.56

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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.