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Finding the Fourth Proportional to 378,825.78, 567,781.74 and 165,502.17

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Solution

The fourth proportional to 378,825.78, 567,781.74 and 165,502.17 is: 248,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,825.78 : 567,781.74 = 165,502.17 : x
  2. Step 2: Convert to fraction form
    378,825.78/567,781.74 = 165,502.17/x
  3. Step 3: Cross multiply
    378,825.78x = 567,781.74 × 165,502.17
  4. Step 4: Simplify right side
    378,825.78x = 93,969,110,056.38
  5. Step 5: Solve for x
    x = 93,969,110,056.38/378,825.78
  6. Step 6: Final answer
    x = 248,053.63

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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.