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Finding the Fourth Proportional to 305,040.80, 457,820.40 and 245,943.20

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Solution

The fourth proportional to 305,040.80, 457,820.40 and 245,943.20 is: 369,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,040.80 : 457,820.40 = 245,943.20 : x
  2. Step 2: Convert to fraction form
    305,040.80/457,820.40 = 245,943.20/x
  3. Step 3: Cross multiply
    305,040.80x = 457,820.40 × 245,943.20
  4. Step 4: Simplify right side
    305,040.80x = 112,597,814,201.28
  5. Step 5: Solve for x
    x = 112,597,814,201.28/305,040.80
  6. Step 6: Final answer
    x = 369,123.78

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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.