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Finding the Fourth Proportional to 704,920.90, 1,057,446.15 and 199,480.90

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Solution

The fourth proportional to 704,920.90, 1,057,446.15 and 199,480.90 is: 299,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,920.90 : 1,057,446.15 = 199,480.90 : x
  2. Step 2: Convert to fraction form
    704,920.90/1,057,446.15 = 199,480.90/x
  3. Step 3: Cross multiply
    704,920.90x = 1,057,446.15 × 199,480.90
  4. Step 4: Simplify right side
    704,920.90x = 210,940,309,703.54
  5. Step 5: Solve for x
    x = 210,940,309,703.54/704,920.90
  6. Step 6: Final answer
    x = 299,239.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.