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Finding the Fourth Proportional to 406,856.93, 561,462.71 and 225,571.10

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Solution

The fourth proportional to 406,856.93, 561,462.71 and 225,571.10 is: 311,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,856.93 : 561,462.71 = 225,571.10 : x
  2. Step 2: Convert to fraction form
    406,856.93/561,462.71 = 225,571.10/x
  3. Step 3: Cross multiply
    406,856.93x = 561,462.71 × 225,571.10
  4. Step 4: Simplify right side
    406,856.93x = 126,649,757,168.51
  5. Step 5: Solve for x
    x = 126,649,757,168.51/406,856.93
  6. Step 6: Final answer
    x = 311,288.19

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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.