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Finding the Fourth Proportional to 406,907.67, 561,529.82 and 225,619.68

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Solution

The fourth proportional to 406,907.67, 561,529.82 and 225,619.68 is: 311,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,907.67 : 561,529.82 = 225,619.68 : x
  2. Step 2: Convert to fraction form
    406,907.67/561,529.82 = 225,619.68/x
  3. Step 3: Cross multiply
    406,907.67x = 561,529.82 × 225,619.68
  4. Step 4: Simplify right side
    406,907.67x = 126,692,178,862.91
  5. Step 5: Solve for x
    x = 126,692,178,862.91/406,907.67
  6. Step 6: Final answer
    x = 311,353.63

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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.