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Finding the Fourth Proportional to 230,508.91, 317,903.43 and 149,907.16

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Solution

The fourth proportional to 230,508.91, 317,903.43 and 149,907.16 is: 206,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,508.91 : 317,903.43 = 149,907.16 : x
  2. Step 2: Convert to fraction form
    230,508.91/317,903.43 = 149,907.16/x
  3. Step 3: Cross multiply
    230,508.91x = 317,903.43 × 149,907.16
  4. Step 4: Simplify right side
    230,508.91x = 47,656,000,345.56
  5. Step 5: Solve for x
    x = 47,656,000,345.56/230,508.91
  6. Step 6: Final answer
    x = 206,742.55

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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.