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Finding the Fourth Proportional to 656,543.20, 984,123.60 and 257,029.60

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Solution

The fourth proportional to 656,543.20, 984,123.60 and 257,029.60 is: 385,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,543.20 : 984,123.60 = 257,029.60 : x
  2. Step 2: Convert to fraction form
    656,543.20/984,123.60 = 257,029.60/x
  3. Step 3: Cross multiply
    656,543.20x = 984,123.60 × 257,029.60
  4. Step 4: Simplify right side
    656,543.20x = 252,948,895,258.56
  5. Step 5: Solve for x
    x = 252,948,895,258.56/656,543.20
  6. Step 6: Final answer
    x = 385,273.80

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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.