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Finding the Fourth Proportional to 519,819.12, 780,039.72 and 477,517.68

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Solution

The fourth proportional to 519,819.12, 780,039.72 and 477,517.68 is: 716,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,819.12 : 780,039.72 = 477,517.68 : x
  2. Step 2: Convert to fraction form
    519,819.12/780,039.72 = 477,517.68/x
  3. Step 3: Cross multiply
    519,819.12x = 780,039.72 × 477,517.68
  4. Step 4: Simplify right side
    519,819.12x = 372,482,757,402.25
  5. Step 5: Solve for x
    x = 372,482,757,402.25/519,819.12
  6. Step 6: Final answer
    x = 716,562.25

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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.