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Finding the Fourth Proportional to 257,791.16, 386,839.84 and 139,459.88

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Solution

The fourth proportional to 257,791.16, 386,839.84 and 139,459.88 is: 209,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,791.16 : 386,839.84 = 139,459.88 : x
  2. Step 2: Convert to fraction form
    257,791.16/386,839.84 = 139,459.88/x
  3. Step 3: Cross multiply
    257,791.16x = 386,839.84 × 139,459.88
  4. Step 4: Simplify right side
    257,791.16x = 53,948,637,665.62
  5. Step 5: Solve for x
    x = 53,948,637,665.62/257,791.16
  6. Step 6: Final answer
    x = 209,272.64

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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.