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Finding the Fourth Proportional to 378,224.63, 567,509.17 and 141,585.76

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Solution

The fourth proportional to 378,224.63, 567,509.17 and 141,585.76 is: 212,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,224.63 : 567,509.17 = 141,585.76 : x
  2. Step 2: Convert to fraction form
    378,224.63/567,509.17 = 141,585.76/x
  3. Step 3: Cross multiply
    378,224.63x = 567,509.17 × 141,585.76
  4. Step 4: Simplify right side
    378,224.63x = 80,351,217,141.42
  5. Step 5: Solve for x
    x = 80,351,217,141.42/378,224.63
  6. Step 6: Final answer
    x = 212,443.11

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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.