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Finding the Fourth Proportional to 213,574.46, 320,203.53 and 129,314.79

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Solution

The fourth proportional to 213,574.46, 320,203.53 and 129,314.79 is: 193,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,574.46 : 320,203.53 = 129,314.79 : x
  2. Step 2: Convert to fraction form
    213,574.46/320,203.53 = 129,314.79/x
  3. Step 3: Cross multiply
    213,574.46x = 320,203.53 × 129,314.79
  4. Step 4: Simplify right side
    213,574.46x = 41,407,052,239.21
  5. Step 5: Solve for x
    x = 41,407,052,239.21/213,574.46
  6. Step 6: Final answer
    x = 193,876.43

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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.