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Finding the Fourth Proportional to 375,323.28, 517,954.68 and 205,555.92

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Solution

The fourth proportional to 375,323.28, 517,954.68 and 205,555.92 is: 283,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,323.28 : 517,954.68 = 205,555.92 : x
  2. Step 2: Convert to fraction form
    375,323.28/517,954.68 = 205,555.92/x
  3. Step 3: Cross multiply
    375,323.28x = 517,954.68 × 205,555.92
  4. Step 4: Simplify right side
    375,323.28x = 106,468,650,765.71
  5. Step 5: Solve for x
    x = 106,468,650,765.71/375,323.28
  6. Step 6: Final answer
    x = 283,671.85

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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.