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Finding the Fourth Proportional to 612,052.80, 918,273.60 and 274,963.20

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Solution

The fourth proportional to 612,052.80, 918,273.60 and 274,963.20 is: 412,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,052.80 : 918,273.60 = 274,963.20 : x
  2. Step 2: Convert to fraction form
    612,052.80/918,273.60 = 274,963.20/x
  3. Step 3: Cross multiply
    612,052.80x = 918,273.60 × 274,963.20
  4. Step 4: Simplify right side
    612,052.80x = 252,491,447,531.52
  5. Step 5: Solve for x
    x = 252,491,447,531.52/612,052.80
  6. Step 6: Final answer
    x = 412,532.13

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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.