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Finding the Fourth Proportional to 214,336.86, 320,874.65 and 143,082.78

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Solution

The fourth proportional to 214,336.86, 320,874.65 and 143,082.78 is: 214,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,336.86 : 320,874.65 = 143,082.78 : x
  2. Step 2: Convert to fraction form
    214,336.86/320,874.65 = 143,082.78/x
  3. Step 3: Cross multiply
    214,336.86x = 320,874.65 × 143,082.78
  4. Step 4: Simplify right side
    214,336.86x = 45,911,636,238.11
  5. Step 5: Solve for x
    x = 45,911,636,238.11/214,336.86
  6. Step 6: Final answer
    x = 214,203.18

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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.