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Finding the Fourth Proportional to 270,959.03, 406,690.72 and 137,938.87

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Solution

The fourth proportional to 270,959.03, 406,690.72 and 137,938.87 is: 207,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,959.03 : 406,690.72 = 137,938.87 : x
  2. Step 2: Convert to fraction form
    270,959.03/406,690.72 = 137,938.87/x
  3. Step 3: Cross multiply
    270,959.03x = 406,690.72 × 137,938.87
  4. Step 4: Simplify right side
    270,959.03x = 56,098,458,356.29
  5. Step 5: Solve for x
    x = 56,098,458,356.29/270,959.03
  6. Step 6: Final answer
    x = 207,036.68

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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.