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Finding the Fourth Proportional to 375,171.86, 517,737.18 and 205,406

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Solution

The fourth proportional to 375,171.86, 517,737.18 and 205,406 is: 283,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,171.86 : 517,737.18 = 205,406 : x
  2. Step 2: Convert to fraction form
    375,171.86/517,737.18 = 205,406/x
  3. Step 3: Cross multiply
    375,171.86x = 517,737.18 × 205,406
  4. Step 4: Simplify right side
    375,171.86x = 106,346,323,195.08
  5. Step 5: Solve for x
    x = 106,346,323,195.08/375,171.86
  6. Step 6: Final answer
    x = 283,460.29

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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.