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Finding the Fourth Proportional to 406,581.81, 561,095.19 and 225,276.78

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Solution

The fourth proportional to 406,581.81, 561,095.19 and 225,276.78 is: 310,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,581.81 : 561,095.19 = 225,276.78 : x
  2. Step 2: Convert to fraction form
    406,581.81/561,095.19 = 225,276.78/x
  3. Step 3: Cross multiply
    406,581.81x = 561,095.19 × 225,276.78
  4. Step 4: Simplify right side
    406,581.81x = 126,401,717,676.69
  5. Step 5: Solve for x
    x = 126,401,717,676.69/406,581.81
  6. Step 6: Final answer
    x = 310,888.77

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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.