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Finding the Fourth Proportional to 375,148.92, 517,685.70 and 205,350.12

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Solution

The fourth proportional to 375,148.92, 517,685.70 and 205,350.12 is: 283,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,148.92 : 517,685.70 = 205,350.12 : x
  2. Step 2: Convert to fraction form
    375,148.92/517,685.70 = 205,350.12/x
  3. Step 3: Cross multiply
    375,148.92x = 517,685.70 × 205,350.12
  4. Step 4: Simplify right side
    375,148.92x = 106,306,820,617.28
  5. Step 5: Solve for x
    x = 106,306,820,617.28/375,148.92
  6. Step 6: Final answer
    x = 283,372.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.