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Finding the Fourth Proportional to 399,642.80, 598,947.44 and 299,013.46

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Solution

The fourth proportional to 399,642.80, 598,947.44 and 299,013.46 is: 448,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,642.80 : 598,947.44 = 299,013.46 : x
  2. Step 2: Convert to fraction form
    399,642.80/598,947.44 = 299,013.46/x
  3. Step 3: Cross multiply
    399,642.80x = 598,947.44 × 299,013.46
  4. Step 4: Simplify right side
    399,642.80x = 179,093,346,392.54
  5. Step 5: Solve for x
    x = 179,093,346,392.54/399,642.80
  6. Step 6: Final answer
    x = 448,133.55

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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.