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Finding the Fourth Proportional to 538,335.90, 807,506.90 and 138,949.36

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Solution

The fourth proportional to 538,335.90, 807,506.90 and 138,949.36 is: 208,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,335.90 : 807,506.90 = 138,949.36 : x
  2. Step 2: Convert to fraction form
    538,335.90/807,506.90 = 138,949.36/x
  3. Step 3: Cross multiply
    538,335.90x = 807,506.90 × 138,949.36
  4. Step 4: Simplify right side
    538,335.90x = 112,202,566,950.58
  5. Step 5: Solve for x
    x = 112,202,566,950.58/538,335.90
  6. Step 6: Final answer
    x = 208,424.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.