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Finding the Fourth Proportional to 407,133.72, 561,609.45 and 253,905.95

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Solution

The fourth proportional to 407,133.72, 561,609.45 and 253,905.95 is: 350,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,133.72 : 561,609.45 = 253,905.95 : x
  2. Step 2: Convert to fraction form
    407,133.72/561,609.45 = 253,905.95/x
  3. Step 3: Cross multiply
    407,133.72x = 561,609.45 × 253,905.95
  4. Step 4: Simplify right side
    407,133.72x = 142,595,982,335.25
  5. Step 5: Solve for x
    x = 142,595,982,335.25/407,133.72
  6. Step 6: Final answer
    x = 350,243.61

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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.