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Finding the Fourth Proportional to 646,057.20, 970,122.60 and 488,463.60

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Solution

The fourth proportional to 646,057.20, 970,122.60 and 488,463.60 is: 733,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,057.20 : 970,122.60 = 488,463.60 : x
  2. Step 2: Convert to fraction form
    646,057.20/970,122.60 = 488,463.60/x
  3. Step 3: Cross multiply
    646,057.20x = 970,122.60 × 488,463.60
  4. Step 4: Simplify right side
    646,057.20x = 473,869,577,637.36
  5. Step 5: Solve for x
    x = 473,869,577,637.36/646,057.20
  6. Step 6: Final answer
    x = 733,479.29

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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.