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Finding the Fourth Proportional to 290,756.50, 436,134.75 and 77,525.14

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Solution

The fourth proportional to 290,756.50, 436,134.75 and 77,525.14 is: 116,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,756.50 : 436,134.75 = 77,525.14 : x
  2. Step 2: Convert to fraction form
    290,756.50/436,134.75 = 77,525.14/x
  3. Step 3: Cross multiply
    290,756.50x = 436,134.75 × 77,525.14
  4. Step 4: Simplify right side
    290,756.50x = 33,811,407,552.62
  5. Step 5: Solve for x
    x = 33,811,407,552.62/290,756.50
  6. Step 6: Final answer
    x = 116,287.71

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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.