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Finding the Fourth Proportional to 512,007.78, 768,676.95 and 393,762.90

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Solution

The fourth proportional to 512,007.78, 768,676.95 and 393,762.90 is: 591,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,007.78 : 768,676.95 = 393,762.90 : x
  2. Step 2: Convert to fraction form
    512,007.78/768,676.95 = 393,762.90/x
  3. Step 3: Cross multiply
    512,007.78x = 768,676.95 × 393,762.90
  4. Step 4: Simplify right side
    512,007.78x = 302,676,464,995.16
  5. Step 5: Solve for x
    x = 302,676,464,995.16/512,007.78
  6. Step 6: Final answer
    x = 591,155.99

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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.