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Finding the Fourth Proportional to 383,464.40, 575,196.60 and 361,691.60

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Solution

The fourth proportional to 383,464.40, 575,196.60 and 361,691.60 is: 542,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,464.40 : 575,196.60 = 361,691.60 : x
  2. Step 2: Convert to fraction form
    383,464.40/575,196.60 = 361,691.60/x
  3. Step 3: Cross multiply
    383,464.40x = 575,196.60 × 361,691.60
  4. Step 4: Simplify right side
    383,464.40x = 208,043,778,568.56
  5. Step 5: Solve for x
    x = 208,043,778,568.56/383,464.40
  6. Step 6: Final answer
    x = 542,537.40

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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.