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Finding the Fourth Proportional to 378,400.99, 567,601.49 and 141,680.11

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Solution

The fourth proportional to 378,400.99, 567,601.49 and 141,680.11 is: 212,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,400.99 : 567,601.49 = 141,680.11 : x
  2. Step 2: Convert to fraction form
    378,400.99/567,601.49 = 141,680.11/x
  3. Step 3: Cross multiply
    378,400.99x = 567,601.49 × 141,680.11
  4. Step 4: Simplify right side
    378,400.99x = 80,417,840,830.96
  5. Step 5: Solve for x
    x = 80,417,840,830.96/378,400.99
  6. Step 6: Final answer
    x = 212,520.17

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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.