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Finding the Fourth Proportional to 375,080, 517,590.52 and 205,281.28

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Solution

The fourth proportional to 375,080, 517,590.52 and 205,281.28 is: 283,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,080 : 517,590.52 = 205,281.28 : x
  2. Step 2: Convert to fraction form
    375,080/517,590.52 = 205,281.28/x
  3. Step 3: Cross multiply
    375,080x = 517,590.52 × 205,281.28
  4. Step 4: Simplify right side
    375,080x = 106,251,644,461.47
  5. Step 5: Solve for x
    x = 106,251,644,461.47/375,080
  6. Step 6: Final answer
    x = 283,277.29

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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.