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Finding the Fourth Proportional to 478,109.80, 659,793.93 and 274,168.40

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Solution

The fourth proportional to 478,109.80, 659,793.93 and 274,168.40 is: 378,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,109.80 : 659,793.93 = 274,168.40 : x
  2. Step 2: Convert to fraction form
    478,109.80/659,793.93 = 274,168.40/x
  3. Step 3: Cross multiply
    478,109.80x = 659,793.93 × 274,168.40
  4. Step 4: Simplify right side
    478,109.80x = 180,894,647,767.30
  5. Step 5: Solve for x
    x = 180,894,647,767.30/478,109.80
  6. Step 6: Final answer
    x = 378,353.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.