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Finding the Fourth Proportional to 704,165.90, 971,789.92 and 394,065.86

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Solution

The fourth proportional to 704,165.90, 971,789.92 and 394,065.86 is: 543,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,165.90 : 971,789.92 = 394,065.86 : x
  2. Step 2: Convert to fraction form
    704,165.90/971,789.92 = 394,065.86/x
  3. Step 3: Cross multiply
    704,165.90x = 971,789.92 × 394,065.86
  4. Step 4: Simplify right side
    704,165.90x = 382,949,230,564.13
  5. Step 5: Solve for x
    x = 382,949,230,564.13/704,165.90
  6. Step 6: Final answer
    x = 543,833.82

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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.