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Finding the Fourth Proportional to 230,538.91, 318,143.07 and 128,564.48

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Solution

The fourth proportional to 230,538.91, 318,143.07 and 128,564.48 is: 177,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,538.91 : 318,143.07 = 128,564.48 : x
  2. Step 2: Convert to fraction form
    230,538.91/318,143.07 = 128,564.48/x
  3. Step 3: Cross multiply
    230,538.91x = 318,143.07 × 128,564.48
  4. Step 4: Simplify right side
    230,538.91x = 40,901,899,336.31
  5. Step 5: Solve for x
    x = 40,901,899,336.31/230,538.91
  6. Step 6: Final answer
    x = 177,418.64

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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.