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Finding the Fourth Proportional to 375,151.64, 517,710.78 and 205,401.56

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Solution

The fourth proportional to 375,151.64, 517,710.78 and 205,401.56 is: 283,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,151.64 : 517,710.78 = 205,401.56 : x
  2. Step 2: Convert to fraction form
    375,151.64/517,710.78 = 205,401.56/x
  3. Step 3: Cross multiply
    375,151.64x = 517,710.78 × 205,401.56
  4. Step 4: Simplify right side
    375,151.64x = 106,338,601,840.82
  5. Step 5: Solve for x
    x = 106,338,601,840.82/375,151.64
  6. Step 6: Final answer
    x = 283,454.98

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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.