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Finding the Fourth Proportional to 406,722.52, 561,271.57 and 225,430.62

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Solution

The fourth proportional to 406,722.52, 561,271.57 and 225,430.62 is: 311,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,722.52 : 561,271.57 = 225,430.62 : x
  2. Step 2: Convert to fraction form
    406,722.52/561,271.57 = 225,430.62/x
  3. Step 3: Cross multiply
    406,722.52x = 561,271.57 × 225,430.62
  4. Step 4: Simplify right side
    406,722.52x = 126,527,798,013.47
  5. Step 5: Solve for x
    x = 126,527,798,013.47/406,722.52
  6. Step 6: Final answer
    x = 311,091.20

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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.