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Finding the Fourth Proportional to 231,315.62, 319,117.79 and 154,859.31

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Solution

The fourth proportional to 231,315.62, 319,117.79 and 154,859.31 is: 213,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,315.62 : 319,117.79 = 154,859.31 : x
  2. Step 2: Convert to fraction form
    231,315.62/319,117.79 = 154,859.31/x
  3. Step 3: Cross multiply
    231,315.62x = 319,117.79 × 154,859.31
  4. Step 4: Simplify right side
    231,315.62x = 49,418,361,155.27
  5. Step 5: Solve for x
    x = 49,418,361,155.27/231,315.62
  6. Step 6: Final answer
    x = 213,640.40

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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.