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Finding the Fourth Proportional to 215,773.86, 323,830.26 and 149,679.12

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Solution

The fourth proportional to 215,773.86, 323,830.26 and 149,679.12 is: 224,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,773.86 : 323,830.26 = 149,679.12 : x
  2. Step 2: Convert to fraction form
    215,773.86/323,830.26 = 149,679.12/x
  3. Step 3: Cross multiply
    215,773.86x = 323,830.26 × 149,679.12
  4. Step 4: Simplify right side
    215,773.86x = 48,470,628,346.17
  5. Step 5: Solve for x
    x = 48,470,628,346.17/215,773.86
  6. Step 6: Final answer
    x = 224,636.24

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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.