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Finding the Fourth Proportional to 272,023.20, 408,034.80 and 165,578.40

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Solution

The fourth proportional to 272,023.20, 408,034.80 and 165,578.40 is: 248,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,023.20 : 408,034.80 = 165,578.40 : x
  2. Step 2: Convert to fraction form
    272,023.20/408,034.80 = 165,578.40/x
  3. Step 3: Cross multiply
    272,023.20x = 408,034.80 × 165,578.40
  4. Step 4: Simplify right side
    272,023.20x = 67,561,749,328.32
  5. Step 5: Solve for x
    x = 67,561,749,328.32/272,023.20
  6. Step 6: Final answer
    x = 248,367.60

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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.