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Finding the Fourth Proportional to 500,229, 690,381.90 and 285,319.80

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Solution

The fourth proportional to 500,229, 690,381.90 and 285,319.80 is: 393,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,229 : 690,381.90 = 285,319.80 : x
  2. Step 2: Convert to fraction form
    500,229/690,381.90 = 285,319.80/x
  3. Step 3: Cross multiply
    500,229x = 690,381.90 × 285,319.80
  4. Step 4: Simplify right side
    500,229x = 196,979,625,631.62
  5. Step 5: Solve for x
    x = 196,979,625,631.62/500,229
  6. Step 6: Final answer
    x = 393,778.90

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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.