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Finding the Fourth Proportional to 406,638.72, 561,146.13 and 225,345.96

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Solution

The fourth proportional to 406,638.72, 561,146.13 and 225,345.96 is: 310,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,638.72 : 561,146.13 = 225,345.96 : x
  2. Step 2: Convert to fraction form
    406,638.72/561,146.13 = 225,345.96/x
  3. Step 3: Cross multiply
    406,638.72x = 561,146.13 × 225,345.96
  4. Step 4: Simplify right side
    406,638.72x = 126,452,013,365.14
  5. Step 5: Solve for x
    x = 126,452,013,365.14/406,638.72
  6. Step 6: Final answer
    x = 310,968.94

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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.