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Finding the Fourth Proportional to 343,456.60, 515,292.90 and 165,969.40

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Solution

The fourth proportional to 343,456.60, 515,292.90 and 165,969.40 is: 249,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,456.60 : 515,292.90 = 165,969.40 : x
  2. Step 2: Convert to fraction form
    343,456.60/515,292.90 = 165,969.40/x
  3. Step 3: Cross multiply
    343,456.60x = 515,292.90 × 165,969.40
  4. Step 4: Simplify right side
    343,456.60x = 85,522,853,437.26
  5. Step 5: Solve for x
    x = 85,522,853,437.26/343,456.60
  6. Step 6: Final answer
    x = 249,006.29

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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.