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Finding the Fourth Proportional to 286,452.86, 429,701.15 and 86,789.78

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Solution

The fourth proportional to 286,452.86, 429,701.15 and 86,789.78 is: 130,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,452.86 : 429,701.15 = 86,789.78 : x
  2. Step 2: Convert to fraction form
    286,452.86/429,701.15 = 86,789.78/x
  3. Step 3: Cross multiply
    286,452.86x = 429,701.15 × 86,789.78
  4. Step 4: Simplify right side
    286,452.86x = 37,293,667,954.10
  5. Step 5: Solve for x
    x = 37,293,667,954.10/286,452.86
  6. Step 6: Final answer
    x = 130,191.29

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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.