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Finding the Fourth Proportional to 512,217.20, 768,325.80 and 477,225.20

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Solution

The fourth proportional to 512,217.20, 768,325.80 and 477,225.20 is: 715,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,217.20 : 768,325.80 = 477,225.20 : x
  2. Step 2: Convert to fraction form
    512,217.20/768,325.80 = 477,225.20/x
  3. Step 3: Cross multiply
    512,217.20x = 768,325.80 × 477,225.20
  4. Step 4: Simplify right side
    512,217.20x = 366,664,433,570.16
  5. Step 5: Solve for x
    x = 366,664,433,570.16/512,217.20
  6. Step 6: Final answer
    x = 715,837.80

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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.