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Finding the Fourth Proportional to 643,987.88, 966,016 and 194,697.28

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Solution

The fourth proportional to 643,987.88, 966,016 and 194,697.28 is: 292,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,987.88 : 966,016 = 194,697.28 : x
  2. Step 2: Convert to fraction form
    643,987.88/966,016 = 194,697.28/x
  3. Step 3: Cross multiply
    643,987.88x = 966,016 × 194,697.28
  4. Step 4: Simplify right side
    643,987.88x = 188,080,687,636.48
  5. Step 5: Solve for x
    x = 188,080,687,636.48/643,987.88
  6. Step 6: Final answer
    x = 292,056.25

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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.