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Finding the Fourth Proportional to 503,057.57, 694,270.37 and 288,226.13

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Solution

The fourth proportional to 503,057.57, 694,270.37 and 288,226.13 is: 397,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,057.57 : 694,270.37 = 288,226.13 : x
  2. Step 2: Convert to fraction form
    503,057.57/694,270.37 = 288,226.13/x
  3. Step 3: Cross multiply
    503,057.57x = 694,270.37 × 288,226.13
  4. Step 4: Simplify right side
    503,057.57x = 200,106,859,167.98
  5. Step 5: Solve for x
    x = 200,106,859,167.98/503,057.57
  6. Step 6: Final answer
    x = 397,781.23

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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.