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Finding the Fourth Proportional to 406,970.52, 561,648.10 and 225,699.80

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Solution

The fourth proportional to 406,970.52, 561,648.10 and 225,699.80 is: 311,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970.52 : 561,648.10 = 225,699.80 : x
  2. Step 2: Convert to fraction form
    406,970.52/561,648.10 = 225,699.80/x
  3. Step 3: Cross multiply
    406,970.52x = 561,648.10 × 225,699.80
  4. Step 4: Simplify right side
    406,970.52x = 126,763,863,840.38
  5. Step 5: Solve for x
    x = 126,763,863,840.38/406,970.52
  6. Step 6: Final answer
    x = 311,481.69

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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.