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Finding the Fourth Proportional to 383,429.60, 575,403.60 and 214,949.60

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Solution

The fourth proportional to 383,429.60, 575,403.60 and 214,949.60 is: 322,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,429.60 : 575,403.60 = 214,949.60 : x
  2. Step 2: Convert to fraction form
    383,429.60/575,403.60 = 214,949.60/x
  3. Step 3: Cross multiply
    383,429.60x = 575,403.60 × 214,949.60
  4. Step 4: Simplify right side
    383,429.60x = 123,682,773,658.56
  5. Step 5: Solve for x
    x = 123,682,773,658.56/383,429.60
  6. Step 6: Final answer
    x = 322,569.71

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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.