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Finding the Fourth Proportional to 647,470.20, 970,913.70 and 247,978.20

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Solution

The fourth proportional to 647,470.20, 970,913.70 and 247,978.20 is: 371,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,470.20 : 970,913.70 = 247,978.20 : x
  2. Step 2: Convert to fraction form
    647,470.20/970,913.70 = 247,978.20/x
  3. Step 3: Cross multiply
    647,470.20x = 970,913.70 × 247,978.20
  4. Step 4: Simplify right side
    647,470.20x = 240,765,431,681.34
  5. Step 5: Solve for x
    x = 240,765,431,681.34/647,470.20
  6. Step 6: Final answer
    x = 371,855.62

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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.