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Finding the Fourth Proportional to 321,708.38, 482,595.37 and 111,345.71

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Solution

The fourth proportional to 321,708.38, 482,595.37 and 111,345.71 is: 167,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,708.38 : 482,595.37 = 111,345.71 : x
  2. Step 2: Convert to fraction form
    321,708.38/482,595.37 = 111,345.71/x
  3. Step 3: Cross multiply
    321,708.38x = 482,595.37 × 111,345.71
  4. Step 4: Simplify right side
    321,708.38x = 53,734,921,424.02
  5. Step 5: Solve for x
    x = 53,734,921,424.02/321,708.38
  6. Step 6: Final answer
    x = 167,029.91

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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.