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Finding the Fourth Proportional to 647,180.28, 970,007.94 and 291,778.20

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Solution

The fourth proportional to 647,180.28, 970,007.94 and 291,778.20 is: 437,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,180.28 : 970,007.94 = 291,778.20 : x
  2. Step 2: Convert to fraction form
    647,180.28/970,007.94 = 291,778.20/x
  3. Step 3: Cross multiply
    647,180.28x = 970,007.94 × 291,778.20
  4. Step 4: Simplify right side
    647,180.28x = 283,027,170,718.91
  5. Step 5: Solve for x
    x = 283,027,170,718.91/647,180.28
  6. Step 6: Final answer
    x = 437,323.54

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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.