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Finding the Fourth Proportional to 242,580.86, 363,941.44 and 100,399.85

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Solution

The fourth proportional to 242,580.86, 363,941.44 and 100,399.85 is: 150,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,580.86 : 363,941.44 = 100,399.85 : x
  2. Step 2: Convert to fraction form
    242,580.86/363,941.44 = 100,399.85/x
  3. Step 3: Cross multiply
    242,580.86x = 363,941.44 × 100,399.85
  4. Step 4: Simplify right side
    242,580.86x = 36,539,663,914.08
  5. Step 5: Solve for x
    x = 36,539,663,914.08/242,580.86
  6. Step 6: Final answer
    x = 150,628.80

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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.