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Finding the Fourth Proportional to 643,996.80, 965,217.60 and 328,291.20

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Solution

The fourth proportional to 643,996.80, 965,217.60 and 328,291.20 is: 492,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,996.80 : 965,217.60 = 328,291.20 : x
  2. Step 2: Convert to fraction form
    643,996.80/965,217.60 = 328,291.20/x
  3. Step 3: Cross multiply
    643,996.80x = 965,217.60 × 328,291.20
  4. Step 4: Simplify right side
    643,996.80x = 316,872,444,165.12
  5. Step 5: Solve for x
    x = 316,872,444,165.12/643,996.80
  6. Step 6: Final answer
    x = 492,040.40

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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.