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Finding the Fourth Proportional to 209,348.96, 288,929.13 and 203,649.32

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Solution

The fourth proportional to 209,348.96, 288,929.13 and 203,649.32 is: 281,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,348.96 : 288,929.13 = 203,649.32 : x
  2. Step 2: Convert to fraction form
    209,348.96/288,929.13 = 203,649.32/x
  3. Step 3: Cross multiply
    209,348.96x = 288,929.13 × 203,649.32
  4. Step 4: Simplify right side
    209,348.96x = 58,840,220,811.33
  5. Step 5: Solve for x
    x = 58,840,220,811.33/209,348.96
  6. Step 6: Final answer
    x = 281,062.88

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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.