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Finding the Fourth Proportional to 290,766, 436,149 and 77,534.64

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Solution

The fourth proportional to 290,766, 436,149 and 77,534.64 is: 116,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,766 : 436,149 = 77,534.64 : x
  2. Step 2: Convert to fraction form
    290,766/436,149 = 77,534.64/x
  3. Step 3: Cross multiply
    290,766x = 436,149 × 77,534.64
  4. Step 4: Simplify right side
    290,766x = 33,816,655,701.36
  5. Step 5: Solve for x
    x = 33,816,655,701.36/290,766
  6. Step 6: Final answer
    x = 116,301.96

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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.