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Finding the Fourth Proportional to 475,175.05, 655,736.31 and 257,378.32

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Solution

The fourth proportional to 475,175.05, 655,736.31 and 257,378.32 is: 355,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,175.05 : 655,736.31 = 257,378.32 : x
  2. Step 2: Convert to fraction form
    475,175.05/655,736.31 = 257,378.32/x
  3. Step 3: Cross multiply
    475,175.05x = 655,736.31 × 257,378.32
  4. Step 4: Simplify right side
    475,175.05x = 168,772,309,830.80
  5. Step 5: Solve for x
    x = 168,772,309,830.80/475,175.05
  6. Step 6: Final answer
    x = 355,179.23

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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.