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Finding the Fourth Proportional to 288,190.17, 431,399.43 and 245,674.89

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Solution

The fourth proportional to 288,190.17, 431,399.43 and 245,674.89 is: 367,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,190.17 : 431,399.43 = 245,674.89 : x
  2. Step 2: Convert to fraction form
    288,190.17/431,399.43 = 245,674.89/x
  3. Step 3: Cross multiply
    288,190.17x = 431,399.43 × 245,674.89
  4. Step 4: Simplify right side
    288,190.17x = 105,984,007,511.31
  5. Step 5: Solve for x
    x = 105,984,007,511.31/288,190.17
  6. Step 6: Final answer
    x = 367,757.19

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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.