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Finding the Fourth Proportional to 213,865.82, 321,213.92 and 157,483.24

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Solution

The fourth proportional to 213,865.82, 321,213.92 and 157,483.24 is: 236,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,865.82 : 321,213.92 = 157,483.24 : x
  2. Step 2: Convert to fraction form
    213,865.82/321,213.92 = 157,483.24/x
  3. Step 3: Cross multiply
    213,865.82x = 321,213.92 × 157,483.24
  4. Step 4: Simplify right side
    213,865.82x = 50,585,808,854.70
  5. Step 5: Solve for x
    x = 50,585,808,854.70/213,865.82
  6. Step 6: Final answer
    x = 236,530.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.