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Finding the Fourth Proportional to 487,149.32, 731,386.62 and 274,067.18

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Solution

The fourth proportional to 487,149.32, 731,386.62 and 274,067.18 is: 411,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,149.32 : 731,386.62 = 274,067.18 : x
  2. Step 2: Convert to fraction form
    487,149.32/731,386.62 = 274,067.18/x
  3. Step 3: Cross multiply
    487,149.32x = 731,386.62 × 274,067.18
  4. Step 4: Simplify right side
    487,149.32x = 200,449,064,776.20
  5. Step 5: Solve for x
    x = 200,449,064,776.20/487,149.32
  6. Step 6: Final answer
    x = 411,473.56

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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.