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Finding the Fourth Proportional to 646,287.42, 969,873.95 and 225,563.29

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Solution

The fourth proportional to 646,287.42, 969,873.95 and 225,563.29 is: 338,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,287.42 : 969,873.95 = 225,563.29 : x
  2. Step 2: Convert to fraction form
    646,287.42/969,873.95 = 225,563.29/x
  3. Step 3: Cross multiply
    646,287.42x = 969,873.95 × 225,563.29
  4. Step 4: Simplify right side
    646,287.42x = 218,767,959,047.30
  5. Step 5: Solve for x
    x = 218,767,959,047.30/646,287.42
  6. Step 6: Final answer
    x = 338,499.49

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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.