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Finding the Fourth Proportional to 255,269.78, 382,904.76 and 114,864.38

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Solution

The fourth proportional to 255,269.78, 382,904.76 and 114,864.38 is: 172,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,269.78 : 382,904.76 = 114,864.38 : x
  2. Step 2: Convert to fraction form
    255,269.78/382,904.76 = 114,864.38/x
  3. Step 3: Cross multiply
    255,269.78x = 382,904.76 × 114,864.38
  4. Step 4: Simplify right side
    255,269.78x = 43,982,117,856.45
  5. Step 5: Solve for x
    x = 43,982,117,856.45/255,269.78
  6. Step 6: Final answer
    x = 172,296.61

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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.