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Finding the Fourth Proportional to 361,687.40, 542,531.10 and 235,716.20

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Solution

The fourth proportional to 361,687.40, 542,531.10 and 235,716.20 is: 353,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,687.40 : 542,531.10 = 235,716.20 : x
  2. Step 2: Convert to fraction form
    361,687.40/542,531.10 = 235,716.20/x
  3. Step 3: Cross multiply
    361,687.40x = 542,531.10 × 235,716.20
  4. Step 4: Simplify right side
    361,687.40x = 127,883,369,273.82
  5. Step 5: Solve for x
    x = 127,883,369,273.82/361,687.40
  6. Step 6: Final answer
    x = 353,574.30

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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.