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Finding the Fourth Proportional to 343,743.40, 515,744.70 and 166,407.40

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Solution

The fourth proportional to 343,743.40, 515,744.70 and 166,407.40 is: 249,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,743.40 : 515,744.70 = 166,407.40 : x
  2. Step 2: Convert to fraction form
    343,743.40/515,744.70 = 166,407.40/x
  3. Step 3: Cross multiply
    343,743.40x = 515,744.70 × 166,407.40
  4. Step 4: Simplify right side
    343,743.40x = 85,823,734,590.78
  5. Step 5: Solve for x
    x = 85,823,734,590.78/343,743.40
  6. Step 6: Final answer
    x = 249,673.84

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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.