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Finding the Fourth Proportional to 321,892, 444,210.96 and 180,580

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Solution

The fourth proportional to 321,892, 444,210.96 and 180,580 is: 249,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,892 : 444,210.96 = 180,580 : x
  2. Step 2: Convert to fraction form
    321,892/444,210.96 = 180,580/x
  3. Step 3: Cross multiply
    321,892x = 444,210.96 × 180,580
  4. Step 4: Simplify right side
    321,892x = 80,215,615,156.80
  5. Step 5: Solve for x
    x = 80,215,615,156.80/321,892
  6. Step 6: Final answer
    x = 249,200.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.