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Finding the Fourth Proportional to 407,148.93, 561,864.87 and 225,888.48

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Solution

The fourth proportional to 407,148.93, 561,864.87 and 225,888.48 is: 311,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,148.93 : 561,864.87 = 225,888.48 : x
  2. Step 2: Convert to fraction form
    407,148.93/561,864.87 = 225,888.48/x
  3. Step 3: Cross multiply
    407,148.93x = 561,864.87 × 225,888.48
  4. Step 4: Simplify right side
    407,148.93x = 126,918,801,449.70
  5. Step 5: Solve for x
    x = 126,918,801,449.70/407,148.93
  6. Step 6: Final answer
    x = 311,725.74

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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.