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Finding the Fourth Proportional to 265,781.27, 398,389.93 and 130,654.78

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Solution

The fourth proportional to 265,781.27, 398,389.93 and 130,654.78 is: 195,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,781.27 : 398,389.93 = 130,654.78 : x
  2. Step 2: Convert to fraction form
    265,781.27/398,389.93 = 130,654.78/x
  3. Step 3: Cross multiply
    265,781.27x = 398,389.93 × 130,654.78
  4. Step 4: Simplify right side
    265,781.27x = 52,051,546,013.14
  5. Step 5: Solve for x
    x = 52,051,546,013.14/265,781.27
  6. Step 6: Final answer
    x = 195,843.54

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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.