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Finding the Fourth Proportional to 290,938.56, 436,358.24 and 80,527.20

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Solution

The fourth proportional to 290,938.56, 436,358.24 and 80,527.20 is: 120,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,938.56 : 436,358.24 = 80,527.20 : x
  2. Step 2: Convert to fraction form
    290,938.56/436,358.24 = 80,527.20/x
  3. Step 3: Cross multiply
    290,938.56x = 436,358.24 × 80,527.20
  4. Step 4: Simplify right side
    290,938.56x = 35,138,707,264.13
  5. Step 5: Solve for x
    x = 35,138,707,264.13/290,938.56
  6. Step 6: Final answer
    x = 120,777.07

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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.