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Finding the Fourth Proportional to 406,607.65, 561,121.89 and 225,322.61

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Solution

The fourth proportional to 406,607.65, 561,121.89 and 225,322.61 is: 310,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,607.65 : 561,121.89 = 225,322.61 : x
  2. Step 2: Convert to fraction form
    406,607.65/561,121.89 = 225,322.61/x
  3. Step 3: Cross multiply
    406,607.65x = 561,121.89 × 225,322.61
  4. Step 4: Simplify right side
    406,607.65x = 126,433,448,782.93
  5. Step 5: Solve for x
    x = 126,433,448,782.93/406,607.65
  6. Step 6: Final answer
    x = 310,947.05

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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.