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Finding the Fourth Proportional to 324,048, 447,203.52 and 189,955.20

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Solution

The fourth proportional to 324,048, 447,203.52 and 189,955.20 is: 262,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,048 : 447,203.52 = 189,955.20 : x
  2. Step 2: Convert to fraction form
    324,048/447,203.52 = 189,955.20/x
  3. Step 3: Cross multiply
    324,048x = 447,203.52 × 189,955.20
  4. Step 4: Simplify right side
    324,048x = 84,948,634,082.30
  5. Step 5: Solve for x
    x = 84,948,634,082.30/324,048
  6. Step 6: Final answer
    x = 262,148.31

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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.