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Finding the Fourth Proportional to 538,691.30, 806,040.99 and 431,750.90

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Solution

The fourth proportional to 538,691.30, 806,040.99 and 431,750.90 is: 646,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,691.30 : 806,040.99 = 431,750.90 : x
  2. Step 2: Convert to fraction form
    538,691.30/806,040.99 = 431,750.90/x
  3. Step 3: Cross multiply
    538,691.30x = 806,040.99 × 431,750.90
  4. Step 4: Simplify right side
    538,691.30x = 348,008,926,395.82
  5. Step 5: Solve for x
    x = 348,008,926,395.82/538,691.30
  6. Step 6: Final answer
    x = 646,026.64

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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.