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Finding the Fourth Proportional to 286,421.78, 428,978.22 and 136,766.88

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Solution

The fourth proportional to 286,421.78, 428,978.22 and 136,766.88 is: 204,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,421.78 : 428,978.22 = 136,766.88 : x
  2. Step 2: Convert to fraction form
    286,421.78/428,978.22 = 136,766.88/x
  3. Step 3: Cross multiply
    286,421.78x = 428,978.22 × 136,766.88
  4. Step 4: Simplify right side
    286,421.78x = 58,670,012,737.35
  5. Step 5: Solve for x
    x = 58,670,012,737.35/286,421.78
  6. Step 6: Final answer
    x = 204,837.82

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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.