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Finding the Fourth Proportional to 242,421.25, 363,379.11 and 135,648.67

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Solution

The fourth proportional to 242,421.25, 363,379.11 and 135,648.67 is: 203,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,421.25 : 363,379.11 = 135,648.67 : x
  2. Step 2: Convert to fraction form
    242,421.25/363,379.11 = 135,648.67/x
  3. Step 3: Cross multiply
    242,421.25x = 363,379.11 × 135,648.67
  4. Step 4: Simplify right side
    242,421.25x = 49,291,892,977.28
  5. Step 5: Solve for x
    x = 49,291,892,977.28/242,421.25
  6. Step 6: Final answer
    x = 203,331.57

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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.