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Finding the Fourth Proportional to 209,674.59, 289,363.10 and 157,899

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Solution

The fourth proportional to 209,674.59, 289,363.10 and 157,899 is: 217,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674.59 : 289,363.10 = 157,899 : x
  2. Step 2: Convert to fraction form
    209,674.59/289,363.10 = 157,899/x
  3. Step 3: Cross multiply
    209,674.59x = 289,363.10 × 157,899
  4. Step 4: Simplify right side
    209,674.59x = 45,690,143,337.41
  5. Step 5: Solve for x
    x = 45,690,143,337.41/209,674.59
  6. Step 6: Final answer
    x = 217,909.78

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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.