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Finding the Fourth Proportional to 646,891.80, 970,467.30 and 542,434.20

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Solution

The fourth proportional to 646,891.80, 970,467.30 and 542,434.20 is: 813,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,891.80 : 970,467.30 = 542,434.20 : x
  2. Step 2: Convert to fraction form
    646,891.80/970,467.30 = 542,434.20/x
  3. Step 3: Cross multiply
    646,891.80x = 970,467.30 × 542,434.20
  4. Step 4: Simplify right side
    646,891.80x = 526,414,653,501.66
  5. Step 5: Solve for x
    x = 526,414,653,501.66/646,891.80
  6. Step 6: Final answer
    x = 813,759.97

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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.