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Finding the Fourth Proportional to 397,455.80, 595,308.90 and 239,408.60

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Solution

The fourth proportional to 397,455.80, 595,308.90 and 239,408.60 is: 358,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,455.80 : 595,308.90 = 239,408.60 : x
  2. Step 2: Convert to fraction form
    397,455.80/595,308.90 = 239,408.60/x
  3. Step 3: Cross multiply
    397,455.80x = 595,308.90 × 239,408.60
  4. Step 4: Simplify right side
    397,455.80x = 142,522,070,316.54
  5. Step 5: Solve for x
    x = 142,522,070,316.54/397,455.80
  6. Step 6: Final answer
    x = 358,585.96

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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.