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Finding the Fourth Proportional to 307,692.88, 424,637.49 and 171,753.28

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Solution

The fourth proportional to 307,692.88, 424,637.49 and 171,753.28 is: 237,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,692.88 : 424,637.49 = 171,753.28 : x
  2. Step 2: Convert to fraction form
    307,692.88/424,637.49 = 171,753.28/x
  3. Step 3: Cross multiply
    307,692.88x = 424,637.49 × 171,753.28
  4. Step 4: Simplify right side
    307,692.88x = 72,932,881,718.47
  5. Step 5: Solve for x
    x = 72,932,881,718.47/307,692.88
  6. Step 6: Final answer
    x = 237,031.42

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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.