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Finding the Fourth Proportional to 329,643.20, 491,693.60 and 299,371.44

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Solution

The fourth proportional to 329,643.20, 491,693.60 and 299,371.44 is: 446,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,643.20 : 491,693.60 = 299,371.44 : x
  2. Step 2: Convert to fraction form
    329,643.20/491,693.60 = 299,371.44/x
  3. Step 3: Cross multiply
    329,643.20x = 491,693.60 × 299,371.44
  4. Step 4: Simplify right side
    329,643.20x = 147,199,021,070.78
  5. Step 5: Solve for x
    x = 147,199,021,070.78/329,643.20
  6. Step 6: Final answer
    x = 446,540.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.