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Finding the Fourth Proportional to 361,387.20, 542,080.80 and 268,075.20

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Solution

The fourth proportional to 361,387.20, 542,080.80 and 268,075.20 is: 402,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,387.20 : 542,080.80 = 268,075.20 : x
  2. Step 2: Convert to fraction form
    361,387.20/542,080.80 = 268,075.20/x
  3. Step 3: Cross multiply
    361,387.20x = 542,080.80 × 268,075.20
  4. Step 4: Simplify right side
    361,387.20x = 145,318,418,876.16
  5. Step 5: Solve for x
    x = 145,318,418,876.16/361,387.20
  6. Step 6: Final answer
    x = 402,112.80

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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.