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Finding the Fourth Proportional to 279,102.78, 385,164.92 and 151,778.38

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Solution

The fourth proportional to 279,102.78, 385,164.92 and 151,778.38 is: 209,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,102.78 : 385,164.92 = 151,778.38 : x
  2. Step 2: Convert to fraction form
    279,102.78/385,164.92 = 151,778.38/x
  3. Step 3: Cross multiply
    279,102.78x = 385,164.92 × 151,778.38
  4. Step 4: Simplify right side
    279,102.78x = 58,459,707,590.43
  5. Step 5: Solve for x
    x = 58,459,707,590.43/279,102.78
  6. Step 6: Final answer
    x = 209,455.84

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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.