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Finding the Fourth Proportional to 307,692.43, 424,614.63 and 171,724.89

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Solution

The fourth proportional to 307,692.43, 424,614.63 and 171,724.89 is: 236,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,692.43 : 424,614.63 = 171,724.89 : x
  2. Step 2: Convert to fraction form
    307,692.43/424,614.63 = 171,724.89/x
  3. Step 3: Cross multiply
    307,692.43x = 424,614.63 × 171,724.89
  4. Step 4: Simplify right side
    307,692.43x = 72,916,900,629.14
  5. Step 5: Solve for x
    x = 72,916,900,629.14/307,692.43
  6. Step 6: Final answer
    x = 236,979.83

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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.