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Finding the Fourth Proportional to 406,877.54, 561,468.51 and 225,578.88

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Solution

The fourth proportional to 406,877.54, 561,468.51 and 225,578.88 is: 311,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,877.54 : 561,468.51 = 225,578.88 : x
  2. Step 2: Convert to fraction form
    406,877.54/561,468.51 = 225,578.88/x
  3. Step 3: Cross multiply
    406,877.54x = 561,468.51 × 225,578.88
  4. Step 4: Simplify right side
    406,877.54x = 126,655,437,641.07
  5. Step 5: Solve for x
    x = 126,655,437,641.07/406,877.54
  6. Step 6: Final answer
    x = 311,286.39

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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.