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Finding the Fourth Proportional to 436,478.86, 654,745.97 and 136,971.26

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Solution

The fourth proportional to 436,478.86, 654,745.97 and 136,971.26 is: 205,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,478.86 : 654,745.97 = 136,971.26 : x
  2. Step 2: Convert to fraction form
    436,478.86/654,745.97 = 136,971.26/x
  3. Step 3: Cross multiply
    436,478.86x = 654,745.97 × 136,971.26
  4. Step 4: Simplify right side
    436,478.86x = 89,681,380,490.82
  5. Step 5: Solve for x
    x = 89,681,380,490.82/436,478.86
  6. Step 6: Final answer
    x = 205,465.58

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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.