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Finding the Fourth Proportional to 231,813.82, 319,790.19 and 151,204.78

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Solution

The fourth proportional to 231,813.82, 319,790.19 and 151,204.78 is: 208,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,813.82 : 319,790.19 = 151,204.78 : x
  2. Step 2: Convert to fraction form
    231,813.82/319,790.19 = 151,204.78/x
  3. Step 3: Cross multiply
    231,813.82x = 319,790.19 × 151,204.78
  4. Step 4: Simplify right side
    231,813.82x = 48,353,805,325.11
  5. Step 5: Solve for x
    x = 48,353,805,325.11/231,813.82
  6. Step 6: Final answer
    x = 208,588.97

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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.