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Finding the Fourth Proportional to 861,604.96, 1,189,053.84 and 499,044.64

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Solution

The fourth proportional to 861,604.96, 1,189,053.84 and 499,044.64 is: 688,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,604.96 : 1,189,053.84 = 499,044.64 : x
  2. Step 2: Convert to fraction form
    861,604.96/1,189,053.84 = 499,044.64/x
  3. Step 3: Cross multiply
    861,604.96x = 1,189,053.84 × 499,044.64
  4. Step 4: Simplify right side
    861,604.96x = 593,390,945,523.42
  5. Step 5: Solve for x
    x = 593,390,945,523.42/861,604.96
  6. Step 6: Final answer
    x = 688,704.19

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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.