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Finding the Fourth Proportional to 324,471.20, 447,783 and 188,503.52

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Solution

The fourth proportional to 324,471.20, 447,783 and 188,503.52 is: 260,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,471.20 : 447,783 = 188,503.52 : x
  2. Step 2: Convert to fraction form
    324,471.20/447,783 = 188,503.52/x
  3. Step 3: Cross multiply
    324,471.20x = 447,783 × 188,503.52
  4. Step 4: Simplify right side
    324,471.20x = 84,408,671,696.16
  5. Step 5: Solve for x
    x = 84,408,671,696.16/324,471.20
  6. Step 6: Final answer
    x = 260,142.26

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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.