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Finding the Fourth Proportional to 380,375.36, 524,752.96 and 229,388.48

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Solution

The fourth proportional to 380,375.36, 524,752.96 and 229,388.48 is: 316,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,375.36 : 524,752.96 = 229,388.48 : x
  2. Step 2: Convert to fraction form
    380,375.36/524,752.96 = 229,388.48/x
  3. Step 3: Cross multiply
    380,375.36x = 524,752.96 × 229,388.48
  4. Step 4: Simplify right side
    380,375.36x = 120,372,283,869.90
  5. Step 5: Solve for x
    x = 120,372,283,869.90/380,375.36
  6. Step 6: Final answer
    x = 316,456.58

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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.