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Finding the Fourth Proportional to 442,858.40, 663,607.20 and 330,009.20

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Solution

The fourth proportional to 442,858.40, 663,607.20 and 330,009.20 is: 494,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,858.40 : 663,607.20 = 330,009.20 : x
  2. Step 2: Convert to fraction form
    442,858.40/663,607.20 = 330,009.20/x
  3. Step 3: Cross multiply
    442,858.40x = 663,607.20 × 330,009.20
  4. Step 4: Simplify right side
    442,858.40x = 218,996,481,186.24
  5. Step 5: Solve for x
    x = 218,996,481,186.24/442,858.40
  6. Step 6: Final answer
    x = 494,506.78

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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.