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Finding the Fourth Proportional to 648,884.88, 973,419.92 and 199,643.20

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Solution

The fourth proportional to 648,884.88, 973,419.92 and 199,643.20 is: 299,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,884.88 : 973,419.92 = 199,643.20 : x
  2. Step 2: Convert to fraction form
    648,884.88/973,419.92 = 199,643.20/x
  3. Step 3: Cross multiply
    648,884.88x = 973,419.92 × 199,643.20
  4. Step 4: Simplify right side
    648,884.88x = 194,336,667,772.54
  5. Step 5: Solve for x
    x = 194,336,667,772.54/648,884.88
  6. Step 6: Final answer
    x = 299,493.29

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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.