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Finding the Fourth Proportional to 644,809.20, 966,983.40 and 289,993.20

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Solution

The fourth proportional to 644,809.20, 966,983.40 and 289,993.20 is: 434,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,809.20 : 966,983.40 = 289,993.20 : x
  2. Step 2: Convert to fraction form
    644,809.20/966,983.40 = 289,993.20/x
  3. Step 3: Cross multiply
    644,809.20x = 966,983.40 × 289,993.20
  4. Step 4: Simplify right side
    644,809.20x = 280,418,610,512.88
  5. Step 5: Solve for x
    x = 280,418,610,512.88/644,809.20
  6. Step 6: Final answer
    x = 434,886.18

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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.