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Finding the Fourth Proportional to 517,405.65, 775,646.78 and 201,789.15

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Solution

The fourth proportional to 517,405.65, 775,646.78 and 201,789.15 is: 302,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,405.65 : 775,646.78 = 201,789.15 : x
  2. Step 2: Convert to fraction form
    517,405.65/775,646.78 = 201,789.15/x
  3. Step 3: Cross multiply
    517,405.65x = 775,646.78 × 201,789.15
  4. Step 4: Simplify right side
    517,405.65x = 156,517,103,427.49
  5. Step 5: Solve for x
    x = 156,517,103,427.49/517,405.65
  6. Step 6: Final answer
    x = 302,503.66

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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.