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Finding the Fourth Proportional to 242,409.69, 365,073.19 and 214,678.53

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Solution

The fourth proportional to 242,409.69, 365,073.19 and 214,678.53 is: 323,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,409.69 : 365,073.19 = 214,678.53 : x
  2. Step 2: Convert to fraction form
    242,409.69/365,073.19 = 214,678.53/x
  3. Step 3: Cross multiply
    242,409.69x = 365,073.19 × 214,678.53
  4. Step 4: Simplify right side
    242,409.69x = 78,373,375,234.91
  5. Step 5: Solve for x
    x = 78,373,375,234.91/242,409.69
  6. Step 6: Final answer
    x = 323,309.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.