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Finding the Fourth Proportional to 381,153.96, 525,983.22 and 209,074.20

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Solution

The fourth proportional to 381,153.96, 525,983.22 and 209,074.20 is: 288,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,153.96 : 525,983.22 = 209,074.20 : x
  2. Step 2: Convert to fraction form
    381,153.96/525,983.22 = 209,074.20/x
  3. Step 3: Cross multiply
    381,153.96x = 525,983.22 × 209,074.20
  4. Step 4: Simplify right side
    381,153.96x = 109,969,520,934.92
  5. Step 5: Solve for x
    x = 109,969,520,934.92/381,153.96
  6. Step 6: Final answer
    x = 288,517.32

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1.5x scale

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.