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Finding the Fourth Proportional to 290,755.50, 436,133.25 and 77,524.14

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Solution

The fourth proportional to 290,755.50, 436,133.25 and 77,524.14 is: 116,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,755.50 : 436,133.25 = 77,524.14 : x
  2. Step 2: Convert to fraction form
    290,755.50/436,133.25 = 77,524.14/x
  3. Step 3: Cross multiply
    290,755.50x = 436,133.25 × 77,524.14
  4. Step 4: Simplify right side
    290,755.50x = 33,810,855,131.66
  5. Step 5: Solve for x
    x = 33,810,855,131.66/290,755.50
  6. Step 6: Final answer
    x = 116,286.21

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1.5x scale

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.