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Finding the Fourth Proportional to 508,716.79, 762,494.65 and 204,916.37

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Solution

The fourth proportional to 508,716.79, 762,494.65 and 204,916.37 is: 307,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,716.79 : 762,494.65 = 204,916.37 : x
  2. Step 2: Convert to fraction form
    508,716.79/762,494.65 = 204,916.37/x
  3. Step 3: Cross multiply
    508,716.79x = 762,494.65 × 204,916.37
  4. Step 4: Simplify right side
    508,716.79x = 156,247,631,497.66
  5. Step 5: Solve for x
    x = 156,247,631,497.66/508,716.79
  6. Step 6: Final answer
    x = 307,140.70

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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.