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Finding the Fourth Proportional to 380,711.40, 571,067.10 and 349,218.60

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Solution

The fourth proportional to 380,711.40, 571,067.10 and 349,218.60 is: 523,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,711.40 : 571,067.10 = 349,218.60 : x
  2. Step 2: Convert to fraction form
    380,711.40/571,067.10 = 349,218.60/x
  3. Step 3: Cross multiply
    380,711.40x = 571,067.10 × 349,218.60
  4. Step 4: Simplify right side
    380,711.40x = 199,427,253,168.06
  5. Step 5: Solve for x
    x = 199,427,253,168.06/380,711.40
  6. Step 6: Final answer
    x = 523,827.90

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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.