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Finding the Fourth Proportional to 644,533.80, 966,954.30 and 329,039.40

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Solution

The fourth proportional to 644,533.80, 966,954.30 and 329,039.40 is: 493,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,533.80 : 966,954.30 = 329,039.40 : x
  2. Step 2: Convert to fraction form
    644,533.80/966,954.30 = 329,039.40/x
  3. Step 3: Cross multiply
    644,533.80x = 966,954.30 × 329,039.40
  4. Step 4: Simplify right side
    644,533.80x = 318,166,062,699.42
  5. Step 5: Solve for x
    x = 318,166,062,699.42/644,533.80
  6. Step 6: Final answer
    x = 493,637.51

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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.