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Finding the Fourth Proportional to 517,147.99, 776,448.56 and 264,609.57

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Solution

The fourth proportional to 517,147.99, 776,448.56 and 264,609.57 is: 397,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,147.99 : 776,448.56 = 264,609.57 : x
  2. Step 2: Convert to fraction form
    517,147.99/776,448.56 = 264,609.57/x
  3. Step 3: Cross multiply
    517,147.99x = 776,448.56 × 264,609.57
  4. Step 4: Simplify right side
    517,147.99x = 205,455,719,588.72
  5. Step 5: Solve for x
    x = 205,455,719,588.72/517,147.99
  6. Step 6: Final answer
    x = 397,286.12

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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.