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Finding the Fourth Proportional to 538,187.82, 805,717.86 and 312,861.24

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Solution

The fourth proportional to 538,187.82, 805,717.86 and 312,861.24 is: 468,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,187.82 : 805,717.86 = 312,861.24 : x
  2. Step 2: Convert to fraction form
    538,187.82/805,717.86 = 312,861.24/x
  3. Step 3: Cross multiply
    538,187.82x = 805,717.86 × 312,861.24
  4. Step 4: Simplify right side
    538,187.82x = 252,077,888,769.75
  5. Step 5: Solve for x
    x = 252,077,888,769.75/538,187.82
  6. Step 6: Final answer
    x = 468,382.75

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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.