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Finding the Fourth Proportional to 525,115.20, 787,672.80 and 413,140.80

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Solution

The fourth proportional to 525,115.20, 787,672.80 and 413,140.80 is: 619,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,115.20 : 787,672.80 = 413,140.80 : x
  2. Step 2: Convert to fraction form
    525,115.20/787,672.80 = 413,140.80/x
  3. Step 3: Cross multiply
    525,115.20x = 787,672.80 × 413,140.80
  4. Step 4: Simplify right side
    525,115.20x = 325,419,770,730.24
  5. Step 5: Solve for x
    x = 325,419,770,730.24/525,115.20
  6. Step 6: Final answer
    x = 619,711.20

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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.