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Finding the Fourth Proportional to 503,074.35, 694,341.18 and 288,358.20

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Solution

The fourth proportional to 503,074.35, 694,341.18 and 288,358.20 is: 397,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,074.35 : 694,341.18 = 288,358.20 : x
  2. Step 2: Convert to fraction form
    503,074.35/694,341.18 = 288,358.20/x
  3. Step 3: Cross multiply
    503,074.35x = 694,341.18 × 288,358.20
  4. Step 4: Simplify right side
    503,074.35x = 200,218,972,850.68
  5. Step 5: Solve for x
    x = 200,218,972,850.68/503,074.35
  6. Step 6: Final answer
    x = 397,990.82

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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.