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Finding the Fourth Proportional to 406,710.30, 561,293.81 and 225,479.07

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Solution

The fourth proportional to 406,710.30, 561,293.81 and 225,479.07 is: 311,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,710.30 : 561,293.81 = 225,479.07 : x
  2. Step 2: Convert to fraction form
    406,710.30/561,293.81 = 225,479.07/x
  3. Step 3: Cross multiply
    406,710.30x = 561,293.81 × 225,479.07
  4. Step 4: Simplify right side
    406,710.30x = 126,560,005,148.16
  5. Step 5: Solve for x
    x = 126,560,005,148.16/406,710.30
  6. Step 6: Final answer
    x = 311,179.74

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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.