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Finding the Fourth Proportional to 647,280.72, 970,294.14 and 247,613.76

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Solution

The fourth proportional to 647,280.72, 970,294.14 and 247,613.76 is: 371,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,280.72 : 970,294.14 = 247,613.76 : x
  2. Step 2: Convert to fraction form
    647,280.72/970,294.14 = 247,613.76/x
  3. Step 3: Cross multiply
    647,280.72x = 970,294.14 × 247,613.76
  4. Step 4: Simplify right side
    647,280.72x = 240,258,180,311.37
  5. Step 5: Solve for x
    x = 240,258,180,311.37/647,280.72
  6. Step 6: Final answer
    x = 371,180.81

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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.