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Finding the Fourth Proportional to 313,658.73, 432,834.93 and 177,689.90

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Solution

The fourth proportional to 313,658.73, 432,834.93 and 177,689.90 is: 245,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,658.73 : 432,834.93 = 177,689.90 : x
  2. Step 2: Convert to fraction form
    313,658.73/432,834.93 = 177,689.90/x
  3. Step 3: Cross multiply
    313,658.73x = 432,834.93 × 177,689.90
  4. Step 4: Simplify right side
    313,658.73x = 76,910,395,428.21
  5. Step 5: Solve for x
    x = 76,910,395,428.21/313,658.73
  6. Step 6: Final answer
    x = 245,204.06

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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.