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Finding the Fourth Proportional to 305,551.88, 458,320.78 and 179,988.66

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Solution

The fourth proportional to 305,551.88, 458,320.78 and 179,988.66 is: 269,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,551.88 : 458,320.78 = 179,988.66 : x
  2. Step 2: Convert to fraction form
    305,551.88/458,320.78 = 179,988.66/x
  3. Step 3: Cross multiply
    305,551.88x = 458,320.78 × 179,988.66
  4. Step 4: Simplify right side
    305,551.88x = 82,492,543,042.35
  5. Step 5: Solve for x
    x = 82,492,543,042.35/305,551.88
  6. Step 6: Final answer
    x = 269,978.84

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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.