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Finding the Fourth Proportional to 295,203.40, 442,805.10 and 137,739.40

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Solution

The fourth proportional to 295,203.40, 442,805.10 and 137,739.40 is: 206,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,203.40 : 442,805.10 = 137,739.40 : x
  2. Step 2: Convert to fraction form
    295,203.40/442,805.10 = 137,739.40/x
  3. Step 3: Cross multiply
    295,203.40x = 442,805.10 × 137,739.40
  4. Step 4: Simplify right side
    295,203.40x = 60,991,708,790.94
  5. Step 5: Solve for x
    x = 60,991,708,790.94/295,203.40
  6. Step 6: Final answer
    x = 206,609.10

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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.