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Finding the Fourth Proportional to 409,958.60, 615,053.10 and 199,603.40

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Solution

The fourth proportional to 409,958.60, 615,053.10 and 199,603.40 is: 299,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,958.60 : 615,053.10 = 199,603.40 : x
  2. Step 2: Convert to fraction form
    409,958.60/615,053.10 = 199,603.40/x
  3. Step 3: Cross multiply
    409,958.60x = 615,053.10 × 199,603.40
  4. Step 4: Simplify right side
    409,958.60x = 122,766,689,940.54
  5. Step 5: Solve for x
    x = 122,766,689,940.54/409,958.60
  6. Step 6: Final answer
    x = 299,461.19

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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.