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Finding the Fourth Proportional to 375,152.64, 517,712.16 and 205,402.56

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Solution

The fourth proportional to 375,152.64, 517,712.16 and 205,402.56 is: 283,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,152.64 : 517,712.16 = 205,402.56 : x
  2. Step 2: Convert to fraction form
    375,152.64/517,712.16 = 205,402.56/x
  3. Step 3: Cross multiply
    375,152.64x = 517,712.16 × 205,402.56
  4. Step 4: Simplify right side
    375,152.64x = 106,339,403,007.13
  5. Step 5: Solve for x
    x = 106,339,403,007.13/375,152.64
  6. Step 6: Final answer
    x = 283,456.36

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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.