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Finding the Fourth Proportional to 417,969.90, 626,757.21 and 161,922.42

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Solution

The fourth proportional to 417,969.90, 626,757.21 and 161,922.42 is: 242,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,969.90 : 626,757.21 = 161,922.42 : x
  2. Step 2: Convert to fraction form
    417,969.90/626,757.21 = 161,922.42/x
  3. Step 3: Cross multiply
    417,969.90x = 626,757.21 × 161,922.42
  4. Step 4: Simplify right side
    417,969.90x = 101,486,044,195.65
  5. Step 5: Solve for x
    x = 101,486,044,195.65/417,969.90
  6. Step 6: Final answer
    x = 242,807.06

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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.