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Finding the Fourth Proportional to 253,398.40, 379,697.52 and 205,781.80

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Solution

The fourth proportional to 253,398.40, 379,697.52 and 205,781.80 is: 308,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,398.40 : 379,697.52 = 205,781.80 : x
  2. Step 2: Convert to fraction form
    253,398.40/379,697.52 = 205,781.80/x
  3. Step 3: Cross multiply
    253,398.40x = 379,697.52 × 205,781.80
  4. Step 4: Simplify right side
    253,398.40x = 78,134,839,121.14
  5. Step 5: Solve for x
    x = 78,134,839,121.14/253,398.40
  6. Step 6: Final answer
    x = 308,347.80

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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.