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Finding the Fourth Proportional to 513,057.60, 768,711.60 and 437,824.80

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Solution

The fourth proportional to 513,057.60, 768,711.60 and 437,824.80 is: 655,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,057.60 : 768,711.60 = 437,824.80 : x
  2. Step 2: Convert to fraction form
    513,057.60/768,711.60 = 437,824.80/x
  3. Step 3: Cross multiply
    513,057.60x = 768,711.60 × 437,824.80
  4. Step 4: Simplify right side
    513,057.60x = 336,561,002,527.68
  5. Step 5: Solve for x
    x = 336,561,002,527.68/513,057.60
  6. Step 6: Final answer
    x = 655,990.68

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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.