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Finding the Fourth Proportional to 407,013.93, 561,712.84 and 225,784.29

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Solution

The fourth proportional to 407,013.93, 561,712.84 and 225,784.29 is: 311,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,013.93 : 561,712.84 = 225,784.29 : x
  2. Step 2: Convert to fraction form
    407,013.93/561,712.84 = 225,784.29/x
  3. Step 3: Cross multiply
    407,013.93x = 561,712.84 × 225,784.29
  4. Step 4: Simplify right side
    407,013.93x = 126,825,934,763.28
  5. Step 5: Solve for x
    x = 126,825,934,763.28/407,013.93
  6. Step 6: Final answer
    x = 311,600.97

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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.