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Finding the Fourth Proportional to 305,142.66, 420,947.28 and 264,799.80

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Solution

The fourth proportional to 305,142.66, 420,947.28 and 264,799.80 is: 365,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,142.66 : 420,947.28 = 264,799.80 : x
  2. Step 2: Convert to fraction form
    305,142.66/420,947.28 = 264,799.80/x
  3. Step 3: Cross multiply
    305,142.66x = 420,947.28 × 264,799.80
  4. Step 4: Simplify right side
    305,142.66x = 111,466,755,554.54
  5. Step 5: Solve for x
    x = 111,466,755,554.54/305,142.66
  6. Step 6: Final answer
    x = 365,293.91

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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.