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Finding the Fourth Proportional to 406,911.42, 561,538.04 and 225,625.59

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Solution

The fourth proportional to 406,911.42, 561,538.04 and 225,625.59 is: 311,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,911.42 : 561,538.04 = 225,625.59 : x
  2. Step 2: Convert to fraction form
    406,911.42/561,538.04 = 225,625.59/x
  3. Step 3: Cross multiply
    406,911.42x = 561,538.04 × 225,625.59
  4. Step 4: Simplify right side
    406,911.42x = 126,697,350,454.32
  5. Step 5: Solve for x
    x = 126,697,350,454.32/406,911.42
  6. Step 6: Final answer
    x = 311,363.47

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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.