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Finding the Fourth Proportional to 418,223.72, 626,982.92 and 181,388

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Solution

The fourth proportional to 418,223.72, 626,982.92 and 181,388 is: 271,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,223.72 : 626,982.92 = 181,388 : x
  2. Step 2: Convert to fraction form
    418,223.72/626,982.92 = 181,388/x
  3. Step 3: Cross multiply
    418,223.72x = 626,982.92 × 181,388
  4. Step 4: Simplify right side
    418,223.72x = 113,727,177,892.96
  5. Step 5: Solve for x
    x = 113,727,177,892.96/418,223.72
  6. Step 6: Final answer
    x = 271,929.05

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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.