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Finding the Fourth Proportional to 305,044.89, 420,987.15 and 169,121.47

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Solution

The fourth proportional to 305,044.89, 420,987.15 and 169,121.47 is: 233,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,044.89 : 420,987.15 = 169,121.47 : x
  2. Step 2: Convert to fraction form
    305,044.89/420,987.15 = 169,121.47/x
  3. Step 3: Cross multiply
    305,044.89x = 420,987.15 × 169,121.47
  4. Step 4: Simplify right side
    305,044.89x = 71,197,964,920.34
  5. Step 5: Solve for x
    x = 71,197,964,920.34/305,044.89
  6. Step 6: Final answer
    x = 233,401.60

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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.