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Finding the Fourth Proportional to 305,881.20, 458,821.80 and 165,913.20

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Solution

The fourth proportional to 305,881.20, 458,821.80 and 165,913.20 is: 248,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,881.20 : 458,821.80 = 165,913.20 : x
  2. Step 2: Convert to fraction form
    305,881.20/458,821.80 = 165,913.20/x
  3. Step 3: Cross multiply
    305,881.20x = 458,821.80 × 165,913.20
  4. Step 4: Simplify right side
    305,881.20x = 76,124,593,067.76
  5. Step 5: Solve for x
    x = 76,124,593,067.76/305,881.20
  6. Step 6: Final answer
    x = 248,869.80

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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.