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Finding the Fourth Proportional to 381,666, 572,499.24 and 119,010

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Solution

The fourth proportional to 381,666, 572,499.24 and 119,010 is: 178,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,666 : 572,499.24 = 119,010 : x
  2. Step 2: Convert to fraction form
    381,666/572,499.24 = 119,010/x
  3. Step 3: Cross multiply
    381,666x = 572,499.24 × 119,010
  4. Step 4: Simplify right side
    381,666x = 68,133,134,552.40
  5. Step 5: Solve for x
    x = 68,133,134,552.40/381,666
  6. Step 6: Final answer
    x = 178,515.07

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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.