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Finding the Fourth Proportional to 512,007.80, 768,011.70 and 478,830.20

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Solution

The fourth proportional to 512,007.80, 768,011.70 and 478,830.20 is: 718,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,007.80 : 768,011.70 = 478,830.20 : x
  2. Step 2: Convert to fraction form
    512,007.80/768,011.70 = 478,830.20/x
  3. Step 3: Cross multiply
    512,007.80x = 768,011.70 × 478,830.20
  4. Step 4: Simplify right side
    512,007.80x = 367,747,195,913.34
  5. Step 5: Solve for x
    x = 367,747,195,913.34/512,007.80
  6. Step 6: Final answer
    x = 718,245.30

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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.