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Finding the Fourth Proportional to 393,518.25, 590,401.85 and 140,793.12

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Solution

The fourth proportional to 393,518.25, 590,401.85 and 140,793.12 is: 211,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,518.25 : 590,401.85 = 140,793.12 : x
  2. Step 2: Convert to fraction form
    393,518.25/590,401.85 = 140,793.12/x
  3. Step 3: Cross multiply
    393,518.25x = 590,401.85 × 140,793.12
  4. Step 4: Simplify right side
    393,518.25x = 83,124,517,811.31
  5. Step 5: Solve for x
    x = 83,124,517,811.31/393,518.25
  6. Step 6: Final answer
    x = 211,234.21

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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.