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Finding the Fourth Proportional to 644,296.80, 966,736.80 and 307,207.20

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Solution

The fourth proportional to 644,296.80, 966,736.80 and 307,207.20 is: 460,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,296.80 : 966,736.80 = 307,207.20 : x
  2. Step 2: Convert to fraction form
    644,296.80/966,736.80 = 307,207.20/x
  3. Step 3: Cross multiply
    644,296.80x = 966,736.80 × 307,207.20
  4. Step 4: Simplify right side
    644,296.80x = 296,988,505,464.96
  5. Step 5: Solve for x
    x = 296,988,505,464.96/644,296.80
  6. Step 6: Final answer
    x = 460,949.84

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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.