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Finding the Fourth Proportional to 538,280.39, 807,578.49 and 159,211.13

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Solution

The fourth proportional to 538,280.39, 807,578.49 and 159,211.13 is: 238,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,280.39 : 807,578.49 = 159,211.13 : x
  2. Step 2: Convert to fraction form
    538,280.39/807,578.49 = 159,211.13/x
  3. Step 3: Cross multiply
    538,280.39x = 807,578.49 × 159,211.13
  4. Step 4: Simplify right side
    538,280.39x = 128,575,479,918.70
  5. Step 5: Solve for x
    x = 128,575,479,918.70/538,280.39
  6. Step 6: Final answer
    x = 238,863.39

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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.