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Finding the Fourth Proportional to 407,010, 561,673.80 and 225,749.68

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Solution

The fourth proportional to 407,010, 561,673.80 and 225,749.68 is: 311,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,010 : 561,673.80 = 225,749.68 : x
  2. Step 2: Convert to fraction form
    407,010/561,673.80 = 225,749.68/x
  3. Step 3: Cross multiply
    407,010x = 561,673.80 × 225,749.68
  4. Step 4: Simplify right side
    407,010x = 126,797,680,614.38
  5. Step 5: Solve for x
    x = 126,797,680,614.38/407,010
  6. Step 6: Final answer
    x = 311,534.56

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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.