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Finding the Fourth Proportional to 261,637.40, 391,872.90 and 214,981.40

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Solution

The fourth proportional to 261,637.40, 391,872.90 and 214,981.40 is: 321,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,637.40 : 391,872.90 = 214,981.40 : x
  2. Step 2: Convert to fraction form
    261,637.40/391,872.90 = 214,981.40/x
  3. Step 3: Cross multiply
    261,637.40x = 391,872.90 × 214,981.40
  4. Step 4: Simplify right side
    261,637.40x = 84,245,384,664.06
  5. Step 5: Solve for x
    x = 84,245,384,664.06/261,637.40
  6. Step 6: Final answer
    x = 321,992.90

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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.