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Finding the Fourth Proportional to 294,743.80, 442,115.70 and 107,828.20

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Solution

The fourth proportional to 294,743.80, 442,115.70 and 107,828.20 is: 161,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,743.80 : 442,115.70 = 107,828.20 : x
  2. Step 2: Convert to fraction form
    294,743.80/442,115.70 = 107,828.20/x
  3. Step 3: Cross multiply
    294,743.80x = 442,115.70 × 107,828.20
  4. Step 4: Simplify right side
    294,743.80x = 47,672,540,122.74
  5. Step 5: Solve for x
    x = 47,672,540,122.74/294,743.80
  6. Step 6: Final answer
    x = 161,742.30

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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.