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Finding the Fourth Proportional to 644,964.80, 967,455.30 and 171,647.24

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Solution

The fourth proportional to 644,964.80, 967,455.30 and 171,647.24 is: 257,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,964.80 : 967,455.30 = 171,647.24 : x
  2. Step 2: Convert to fraction form
    644,964.80/967,455.30 = 171,647.24/x
  3. Step 3: Cross multiply
    644,964.80x = 967,455.30 × 171,647.24
  4. Step 4: Simplify right side
    644,964.80x = 166,061,032,068.37
  5. Step 5: Solve for x
    x = 166,061,032,068.37/644,964.80
  6. Step 6: Final answer
    x = 257,473.02

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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.