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Finding the Fourth Proportional to 880,389, 1,214,936.82 and 477,981

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Solution

The fourth proportional to 880,389, 1,214,936.82 and 477,981 is: 659,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,389 : 1,214,936.82 = 477,981 : x
  2. Step 2: Convert to fraction form
    880,389/1,214,936.82 = 477,981/x
  3. Step 3: Cross multiply
    880,389x = 1,214,936.82 × 477,981
  4. Step 4: Simplify right side
    880,389x = 580,716,716,160.42
  5. Step 5: Solve for x
    x = 580,716,716,160.42/880,389
  6. Step 6: Final answer
    x = 659,613.78

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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.