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Finding the Fourth Proportional to 516,861.60, 777,020.40 and 448,432.80

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Solution

The fourth proportional to 516,861.60, 777,020.40 and 448,432.80 is: 674,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,861.60 : 777,020.40 = 448,432.80 : x
  2. Step 2: Convert to fraction form
    516,861.60/777,020.40 = 448,432.80/x
  3. Step 3: Cross multiply
    516,861.60x = 777,020.40 × 448,432.80
  4. Step 4: Simplify right side
    516,861.60x = 348,441,433,629.12
  5. Step 5: Solve for x
    x = 348,441,433,629.12/516,861.60
  6. Step 6: Final answer
    x = 674,148.43

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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.