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Finding the Fourth Proportional to 305,672.40, 458,508.60 and 199,384.20

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Solution

The fourth proportional to 305,672.40, 458,508.60 and 199,384.20 is: 299,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,672.40 : 458,508.60 = 199,384.20 : x
  2. Step 2: Convert to fraction form
    305,672.40/458,508.60 = 199,384.20/x
  3. Step 3: Cross multiply
    305,672.40x = 458,508.60 × 199,384.20
  4. Step 4: Simplify right side
    305,672.40x = 91,419,370,404.12
  5. Step 5: Solve for x
    x = 91,419,370,404.12/305,672.40
  6. Step 6: Final answer
    x = 299,076.30

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1.5x scale

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.