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Finding the Fourth Proportional to 406,969.91, 561,572.06 and 225,636.02

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Solution

The fourth proportional to 406,969.91, 561,572.06 and 225,636.02 is: 311,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,969.91 : 561,572.06 = 225,636.02 : x
  2. Step 2: Convert to fraction form
    406,969.91/561,572.06 = 225,636.02/x
  3. Step 3: Cross multiply
    406,969.91x = 561,572.06 × 225,636.02
  4. Step 4: Simplify right side
    406,969.91x = 126,710,884,837.35
  5. Step 5: Solve for x
    x = 126,710,884,837.35/406,969.91
  6. Step 6: Final answer
    x = 311,351.97

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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.