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Finding the Fourth Proportional to 394,308.60, 591,462.90 and 348,689.40

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Solution

The fourth proportional to 394,308.60, 591,462.90 and 348,689.40 is: 523,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,308.60 : 591,462.90 = 348,689.40 : x
  2. Step 2: Convert to fraction form
    394,308.60/591,462.90 = 348,689.40/x
  3. Step 3: Cross multiply
    394,308.60x = 591,462.90 × 348,689.40
  4. Step 4: Simplify right side
    394,308.60x = 206,236,843,723.26
  5. Step 5: Solve for x
    x = 206,236,843,723.26/394,308.60
  6. Step 6: Final answer
    x = 523,034.10

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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.