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Finding the Fourth Proportional to 290,791.41, 436,207.85 and 77,558.11

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Solution

The fourth proportional to 290,791.41, 436,207.85 and 77,558.11 is: 116,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,791.41 : 436,207.85 = 77,558.11 : x
  2. Step 2: Convert to fraction form
    290,791.41/436,207.85 = 77,558.11/x
  3. Step 3: Cross multiply
    290,791.41x = 436,207.85 × 77,558.11
  4. Step 4: Simplify right side
    290,791.41x = 33,831,454,934.85
  5. Step 5: Solve for x
    x = 33,831,454,934.85/290,791.41
  6. Step 6: Final answer
    x = 116,342.69

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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.