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Finding the Fourth Proportional to 644,618.28, 966,654.03 and 307,268.67

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Solution

The fourth proportional to 644,618.28, 966,654.03 and 307,268.67 is: 460,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,618.28 : 966,654.03 = 307,268.67 : x
  2. Step 2: Convert to fraction form
    644,618.28/966,654.03 = 307,268.67/x
  3. Step 3: Cross multiply
    644,618.28x = 966,654.03 × 307,268.67
  4. Step 4: Simplify right side
    644,618.28x = 297,022,498,148.24
  5. Step 5: Solve for x
    x = 297,022,498,148.24/644,618.28
  6. Step 6: Final answer
    x = 460,772.69

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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.