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Finding the Fourth Proportional to 275,438, 413,226.12 and 78,446

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Solution

The fourth proportional to 275,438, 413,226.12 and 78,446 is: 117,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,438 : 413,226.12 = 78,446 : x
  2. Step 2: Convert to fraction form
    275,438/413,226.12 = 78,446/x
  3. Step 3: Cross multiply
    275,438x = 413,226.12 × 78,446
  4. Step 4: Simplify right side
    275,438x = 32,415,936,209.52
  5. Step 5: Solve for x
    x = 32,415,936,209.52/275,438
  6. Step 6: Final answer
    x = 117,688.69

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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.