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Finding the Fourth Proportional to 406,988.01, 561,672.36 and 225,717.30

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Solution

The fourth proportional to 406,988.01, 561,672.36 and 225,717.30 is: 311,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,988.01 : 561,672.36 = 225,717.30 : x
  2. Step 2: Convert to fraction form
    406,988.01/561,672.36 = 225,717.30/x
  3. Step 3: Cross multiply
    406,988.01x = 561,672.36 × 225,717.30
  4. Step 4: Simplify right side
    406,988.01x = 126,779,168,583.83
  5. Step 5: Solve for x
    x = 126,779,168,583.83/406,988.01
  6. Step 6: Final answer
    x = 311,505.91

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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.