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Finding the Fourth Proportional to 546,647.12, 819,891.40 and 209,772.57

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Solution

The fourth proportional to 546,647.12, 819,891.40 and 209,772.57 is: 314,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,647.12 : 819,891.40 = 209,772.57 : x
  2. Step 2: Convert to fraction form
    546,647.12/819,891.40 = 209,772.57/x
  3. Step 3: Cross multiply
    546,647.12x = 819,891.40 × 209,772.57
  4. Step 4: Simplify right side
    546,647.12x = 171,990,726,098.90
  5. Step 5: Solve for x
    x = 171,990,726,098.90/546,647.12
  6. Step 6: Final answer
    x = 314,628.43

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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.