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Finding the Fourth Proportional to 386,493.80, 579,740.70 and 320,138.60

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Solution

The fourth proportional to 386,493.80, 579,740.70 and 320,138.60 is: 480,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,493.80 : 579,740.70 = 320,138.60 : x
  2. Step 2: Convert to fraction form
    386,493.80/579,740.70 = 320,138.60/x
  3. Step 3: Cross multiply
    386,493.80x = 579,740.70 × 320,138.60
  4. Step 4: Simplify right side
    386,493.80x = 185,597,376,061.02
  5. Step 5: Solve for x
    x = 185,597,376,061.02/386,493.80
  6. Step 6: Final answer
    x = 480,207.90

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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.