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Finding the Fourth Proportional to 406,973.35, 561,612.58 and 225,684.82

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Solution

The fourth proportional to 406,973.35, 561,612.58 and 225,684.82 is: 311,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973.35 : 561,612.58 = 225,684.82 : x
  2. Step 2: Convert to fraction form
    406,973.35/561,612.58 = 225,684.82/x
  3. Step 3: Cross multiply
    406,973.35x = 561,612.58 × 225,684.82
  4. Step 4: Simplify right side
    406,973.35x = 126,747,434,027.04
  5. Step 5: Solve for x
    x = 126,747,434,027.04/406,973.35
  6. Step 6: Final answer
    x = 311,439.15

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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.