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Finding the Fourth Proportional to 656,577.70, 984,319.80 and 277,789.30

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Solution

The fourth proportional to 656,577.70, 984,319.80 and 277,789.30 is: 416,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,577.70 : 984,319.80 = 277,789.30 : x
  2. Step 2: Convert to fraction form
    656,577.70/984,319.80 = 277,789.30/x
  3. Step 3: Cross multiply
    656,577.70x = 984,319.80 × 277,789.30
  4. Step 4: Simplify right side
    656,577.70x = 273,433,508,218.14
  5. Step 5: Solve for x
    x = 273,433,508,218.14/656,577.70
  6. Step 6: Final answer
    x = 416,452.63

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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.