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Finding the Fourth Proportional to 257,967.36, 356,128.56 and 200,478.24

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Solution

The fourth proportional to 257,967.36, 356,128.56 and 200,478.24 is: 276,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,967.36 : 356,128.56 = 200,478.24 : x
  2. Step 2: Convert to fraction form
    257,967.36/356,128.56 = 200,478.24/x
  3. Step 3: Cross multiply
    257,967.36x = 356,128.56 × 200,478.24
  4. Step 4: Simplify right side
    257,967.36x = 71,396,026,922.53
  5. Step 5: Solve for x
    x = 71,396,026,922.53/257,967.36
  6. Step 6: Final answer
    x = 276,763.80

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1.5x scale

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.