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Finding the Fourth Proportional to 442,864.40, 663,616.20 and 330,015.20

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Solution

The fourth proportional to 442,864.40, 663,616.20 and 330,015.20 is: 494,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,864.40 : 663,616.20 = 330,015.20 : x
  2. Step 2: Convert to fraction form
    442,864.40/663,616.20 = 330,015.20/x
  3. Step 3: Cross multiply
    442,864.40x = 663,616.20 × 330,015.20
  4. Step 4: Simplify right side
    442,864.40x = 219,003,432,966.24
  5. Step 5: Solve for x
    x = 219,003,432,966.24/442,864.40
  6. Step 6: Final answer
    x = 494,515.78

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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.