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Finding the Fourth Proportional to 436,486.26, 654,757.06 and 136,978.64

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Solution

The fourth proportional to 436,486.26, 654,757.06 and 136,978.64 is: 205,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,486.26 : 654,757.06 = 136,978.64 : x
  2. Step 2: Convert to fraction form
    436,486.26/654,757.06 = 136,978.64/x
  3. Step 3: Cross multiply
    436,486.26x = 654,757.06 × 136,978.64
  4. Step 4: Simplify right side
    436,486.26x = 89,687,731,609.20
  5. Step 5: Solve for x
    x = 89,687,731,609.20/436,486.26
  6. Step 6: Final answer
    x = 205,476.64

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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.