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Finding the Fourth Proportional to 656,429.60, 984,644.40 and 538,234.40

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Solution

The fourth proportional to 656,429.60, 984,644.40 and 538,234.40 is: 807,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,429.60 : 984,644.40 = 538,234.40 : x
  2. Step 2: Convert to fraction form
    656,429.60/984,644.40 = 538,234.40/x
  3. Step 3: Cross multiply
    656,429.60x = 984,644.40 × 538,234.40
  4. Step 4: Simplify right side
    656,429.60x = 529,969,487,847.36
  5. Step 5: Solve for x
    x = 529,969,487,847.36/656,429.60
  6. Step 6: Final answer
    x = 807,351.60

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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.