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Finding the Fourth Proportional to 301,538.72, 416,177.16 and 225,439.76

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Solution

The fourth proportional to 301,538.72, 416,177.16 and 225,439.76 is: 311,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,538.72 : 416,177.16 = 225,439.76 : x
  2. Step 2: Convert to fraction form
    301,538.72/416,177.16 = 225,439.76/x
  3. Step 3: Cross multiply
    301,538.72x = 416,177.16 × 225,439.76
  4. Step 4: Simplify right side
    301,538.72x = 93,822,879,067.88
  5. Step 5: Solve for x
    x = 93,822,879,067.88/301,538.72
  6. Step 6: Final answer
    x = 311,147.04

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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.