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Finding the Fourth Proportional to 475,189.69, 655,756.31 and 257,394.26

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Solution

The fourth proportional to 475,189.69, 655,756.31 and 257,394.26 is: 355,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,189.69 : 655,756.31 = 257,394.26 : x
  2. Step 2: Convert to fraction form
    475,189.69/655,756.31 = 257,394.26/x
  3. Step 3: Cross multiply
    475,189.69x = 655,756.31 × 257,394.26
  4. Step 4: Simplify right side
    475,189.69x = 168,787,907,299.19
  5. Step 5: Solve for x
    x = 168,787,907,299.19/475,189.69
  6. Step 6: Final answer
    x = 355,201.11

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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.