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Finding the Fourth Proportional to 644,296.32, 966,369.42 and 171,018.45

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Solution

The fourth proportional to 644,296.32, 966,369.42 and 171,018.45 is: 256,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,296.32 : 966,369.42 = 171,018.45 : x
  2. Step 2: Convert to fraction form
    644,296.32/966,369.42 = 171,018.45/x
  3. Step 3: Cross multiply
    644,296.32x = 966,369.42 × 171,018.45
  4. Step 4: Simplify right side
    644,296.32x = 165,267,000,335.80
  5. Step 5: Solve for x
    x = 165,267,000,335.80/644,296.32
  6. Step 6: Final answer
    x = 256,507.75

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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.