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Finding the Fourth Proportional to 312,530.48, 431,324.00 and 225,387.58

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Solution

The fourth proportional to 312,530.48, 431,324.00 and 225,387.58 is: 311,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,530.48 : 431,324.00 = 225,387.58 : x
  2. Step 2: Convert to fraction form
    312,530.48/431,324.00 = 225,387.58/x
  3. Step 3: Cross multiply
    312,530.48x = 431,324.00 × 225,387.58
  4. Step 4: Simplify right side
    312,530.48x = 97,215,073,272.41
  5. Step 5: Solve for x
    x = 97,215,073,272.41/312,530.48
  6. Step 6: Final answer
    x = 311,057.89

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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.