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Finding the Fourth Proportional to 375,154.96, 517,703.52 and 205,385.44

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Solution

The fourth proportional to 375,154.96, 517,703.52 and 205,385.44 is: 283,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,154.96 : 517,703.52 = 205,385.44 : x
  2. Step 2: Convert to fraction form
    375,154.96/517,703.52 = 205,385.44/x
  3. Step 3: Cross multiply
    375,154.96x = 517,703.52 × 205,385.44
  4. Step 4: Simplify right side
    375,154.96x = 106,328,765,244.75
  5. Step 5: Solve for x
    x = 106,328,765,244.75/375,154.96
  6. Step 6: Final answer
    x = 283,426.25

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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.