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Finding the Fourth Proportional to 512,205.20, 768,307.80 and 477,213.20

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Solution

The fourth proportional to 512,205.20, 768,307.80 and 477,213.20 is: 715,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,205.20 : 768,307.80 = 477,213.20 : x
  2. Step 2: Convert to fraction form
    512,205.20/768,307.80 = 477,213.20/x
  3. Step 3: Cross multiply
    512,205.20x = 768,307.80 × 477,213.20
  4. Step 4: Simplify right side
    512,205.20x = 366,646,623,822.96
  5. Step 5: Solve for x
    x = 366,646,623,822.96/512,205.20
  6. Step 6: Final answer
    x = 715,819.80

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1.5x scale

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.