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Finding the Fourth Proportional to 644,871.95, 967,306.78 and 171,557.31

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Solution

The fourth proportional to 644,871.95, 967,306.78 and 171,557.31 is: 257,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,871.95 : 967,306.78 = 171,557.31 : x
  2. Step 2: Convert to fraction form
    644,871.95/967,306.78 = 171,557.31/x
  3. Step 3: Cross multiply
    644,871.95x = 967,306.78 × 171,557.31
  4. Step 4: Simplify right side
    644,871.95x = 165,948,549,121.56
  5. Step 5: Solve for x
    x = 165,948,549,121.56/644,871.95
  6. Step 6: Final answer
    x = 257,335.66

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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.