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Finding the Fourth Proportional to 343,638.40, 515,587.20 and 166,302.40

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Solution

The fourth proportional to 343,638.40, 515,587.20 and 166,302.40 is: 249,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,638.40 : 515,587.20 = 166,302.40 : x
  2. Step 2: Convert to fraction form
    343,638.40/515,587.20 = 166,302.40/x
  3. Step 3: Cross multiply
    343,638.40x = 515,587.20 × 166,302.40
  4. Step 4: Simplify right side
    343,638.40x = 85,743,388,769.28
  5. Step 5: Solve for x
    x = 85,743,388,769.28/343,638.40
  6. Step 6: Final answer
    x = 249,516.32

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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.