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Finding the Fourth Proportional to 406,606.68, 561,071.16 and 225,273

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Solution

The fourth proportional to 406,606.68, 561,071.16 and 225,273 is: 310,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,606.68 : 561,071.16 = 225,273 : x
  2. Step 2: Convert to fraction form
    406,606.68/561,071.16 = 225,273/x
  3. Step 3: Cross multiply
    406,606.68x = 561,071.16 × 225,273
  4. Step 4: Simplify right side
    406,606.68x = 126,394,183,426.68
  5. Step 5: Solve for x
    x = 126,394,183,426.68/406,606.68
  6. Step 6: Final answer
    x = 310,851.22

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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.