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Finding the Fourth Proportional to 431,949.48, 648,121.12 and 221,735.16

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Solution

The fourth proportional to 431,949.48, 648,121.12 and 221,735.16 is: 332,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,949.48 : 648,121.12 = 221,735.16 : x
  2. Step 2: Convert to fraction form
    431,949.48/648,121.12 = 221,735.16/x
  3. Step 3: Cross multiply
    431,949.48x = 648,121.12 × 221,735.16
  4. Step 4: Simplify right side
    431,949.48x = 143,711,240,242.58
  5. Step 5: Solve for x
    x = 143,711,240,242.58/431,949.48
  6. Step 6: Final answer
    x = 332,703.82

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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.