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Finding the Fourth Proportional to 436,215.31, 654,321.97 and 136,718.71

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Solution

The fourth proportional to 436,215.31, 654,321.97 and 136,718.71 is: 205,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,215.31 : 654,321.97 = 136,718.71 : x
  2. Step 2: Convert to fraction form
    436,215.31/654,321.97 = 136,718.71/x
  3. Step 3: Cross multiply
    436,215.31x = 654,321.97 × 136,718.71
  4. Step 4: Simplify right side
    436,215.31x = 89,458,055,663.06
  5. Step 5: Solve for x
    x = 89,458,055,663.06/436,215.31
  6. Step 6: Final answer
    x = 205,077.75

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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.