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Finding the Fourth Proportional to 317,884.68, 438,529.28 and 231,658.80

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Solution

The fourth proportional to 317,884.68, 438,529.28 and 231,658.80 is: 319,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,884.68 : 438,529.28 = 231,658.80 : x
  2. Step 2: Convert to fraction form
    317,884.68/438,529.28 = 231,658.80/x
  3. Step 3: Cross multiply
    317,884.68x = 438,529.28 × 231,658.80
  4. Step 4: Simplify right side
    317,884.68x = 101,589,166,769.66
  5. Step 5: Solve for x
    x = 101,589,166,769.66/317,884.68
  6. Step 6: Final answer
    x = 319,578.68

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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.