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Finding the Fourth Proportional to 519,821.87, 780,043.85 and 477,520.43

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Solution

The fourth proportional to 519,821.87, 780,043.85 and 477,520.43 is: 716,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,821.87 : 780,043.85 = 477,520.43 : x
  2. Step 2: Convert to fraction form
    519,821.87/780,043.85 = 477,520.43/x
  3. Step 3: Cross multiply
    519,821.87x = 780,043.85 × 477,520.43
  4. Step 4: Simplify right side
    519,821.87x = 372,486,872,283.25
  5. Step 5: Solve for x
    x = 372,486,872,283.25/519,821.87
  6. Step 6: Final answer
    x = 716,566.37

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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.