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Finding the Fourth Proportional to 305,498.84, 458,270.73 and 80,857.74

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Solution

The fourth proportional to 305,498.84, 458,270.73 and 80,857.74 is: 121,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,498.84 : 458,270.73 = 80,857.74 : x
  2. Step 2: Convert to fraction form
    305,498.84/458,270.73 = 80,857.74/x
  3. Step 3: Cross multiply
    305,498.84x = 458,270.73 × 80,857.74
  4. Step 4: Simplify right side
    305,498.84x = 37,054,735,535.95
  5. Step 5: Solve for x
    x = 37,054,735,535.95/305,498.84
  6. Step 6: Final answer
    x = 121,292.56

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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.