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Finding the Fourth Proportional to 307,776.42, 424,744.29 and 171,817.92

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Solution

The fourth proportional to 307,776.42, 424,744.29 and 171,817.92 is: 237,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,776.42 : 424,744.29 = 171,817.92 : x
  2. Step 2: Convert to fraction form
    307,776.42/424,744.29 = 171,817.92/x
  3. Step 3: Cross multiply
    307,776.42x = 424,744.29 × 171,817.92
  4. Step 4: Simplify right side
    307,776.42x = 72,978,680,439.68
  5. Step 5: Solve for x
    x = 72,978,680,439.68/307,776.42
  6. Step 6: Final answer
    x = 237,115.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.