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Finding the Fourth Proportional to 217,877.20, 326,815.80 and 165,000.40

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Solution

The fourth proportional to 217,877.20, 326,815.80 and 165,000.40 is: 247,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,877.20 : 326,815.80 = 165,000.40 : x
  2. Step 2: Convert to fraction form
    217,877.20/326,815.80 = 165,000.40/x
  3. Step 3: Cross multiply
    217,877.20x = 326,815.80 × 165,000.40
  4. Step 4: Simplify right side
    217,877.20x = 53,924,737,726.32
  5. Step 5: Solve for x
    x = 53,924,737,726.32/217,877.20
  6. Step 6: Final answer
    x = 247,500.60

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1.5x scale

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.