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Finding the Fourth Proportional to 290,864.88, 436,302.72 and 91,180.80

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Solution

The fourth proportional to 290,864.88, 436,302.72 and 91,180.80 is: 136,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864.88 : 436,302.72 = 91,180.80 : x
  2. Step 2: Convert to fraction form
    290,864.88/436,302.72 = 91,180.80/x
  3. Step 3: Cross multiply
    290,864.88x = 436,302.72 × 91,180.80
  4. Step 4: Simplify right side
    290,864.88x = 39,782,431,051.78
  5. Step 5: Solve for x
    x = 39,782,431,051.78/290,864.88
  6. Step 6: Final answer
    x = 136,772.89

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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.