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Finding the Fourth Proportional to 345,443.72, 517,943 and 145,710.68

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Solution

The fourth proportional to 345,443.72, 517,943 and 145,710.68 is: 218,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,443.72 : 517,943 = 145,710.68 : x
  2. Step 2: Convert to fraction form
    345,443.72/517,943 = 145,710.68/x
  3. Step 3: Cross multiply
    345,443.72x = 517,943 × 145,710.68
  4. Step 4: Simplify right side
    345,443.72x = 75,469,826,731.24
  5. Step 5: Solve for x
    x = 75,469,826,731.24/345,443.72
  6. Step 6: Final answer
    x = 218,472.13

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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.