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Finding the Fourth Proportional to 343,742.40, 515,743.20 and 166,406.40

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Solution

The fourth proportional to 343,742.40, 515,743.20 and 166,406.40 is: 249,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,742.40 : 515,743.20 = 166,406.40 : x
  2. Step 2: Convert to fraction form
    343,742.40/515,743.20 = 166,406.40/x
  3. Step 3: Cross multiply
    343,742.40x = 515,743.20 × 166,406.40
  4. Step 4: Simplify right side
    343,742.40x = 85,822,969,236.48
  5. Step 5: Solve for x
    x = 85,822,969,236.48/343,742.40
  6. Step 6: Final answer
    x = 249,672.34

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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.