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Finding the Fourth Proportional to 406,866.53, 561,474.80 and 225,573.81

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Solution

The fourth proportional to 406,866.53, 561,474.80 and 225,573.81 is: 311,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,866.53 : 561,474.80 = 225,573.81 : x
  2. Step 2: Convert to fraction form
    406,866.53/561,474.80 = 225,573.81/x
  3. Step 3: Cross multiply
    406,866.53x = 561,474.80 × 225,573.81
  4. Step 4: Simplify right side
    406,866.53x = 126,654,009,854.99
  5. Step 5: Solve for x
    x = 126,654,009,854.99/406,866.53
  6. Step 6: Final answer
    x = 311,291.30

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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.