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Finding the Fourth Proportional to 419,182.52, 578,856.17 and 266,269.97

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Solution

The fourth proportional to 419,182.52, 578,856.17 and 266,269.97 is: 367,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,182.52 : 578,856.17 = 266,269.97 : x
  2. Step 2: Convert to fraction form
    419,182.52/578,856.17 = 266,269.97/x
  3. Step 3: Cross multiply
    419,182.52x = 578,856.17 × 266,269.97
  4. Step 4: Simplify right side
    419,182.52x = 154,132,017,133.03
  5. Step 5: Solve for x
    x = 154,132,017,133.03/419,182.52
  6. Step 6: Final answer
    x = 367,696.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.