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Finding the Fourth Proportional to 647,147.92, 970,724.16 and 197,867.04

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Solution

The fourth proportional to 647,147.92, 970,724.16 and 197,867.04 is: 296,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,147.92 : 970,724.16 = 197,867.04 : x
  2. Step 2: Convert to fraction form
    647,147.92/970,724.16 = 197,867.04/x
  3. Step 3: Cross multiply
    647,147.92x = 970,724.16 × 197,867.04
  4. Step 4: Simplify right side
    647,147.92x = 192,074,316,195.69
  5. Step 5: Solve for x
    x = 192,074,316,195.69/647,147.92
  6. Step 6: Final answer
    x = 296,801.26

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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.