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Finding the Fourth Proportional to 406,401.30, 560,811.60 and 225,099

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Solution

The fourth proportional to 406,401.30, 560,811.60 and 225,099 is: 310,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,401.30 : 560,811.60 = 225,099 : x
  2. Step 2: Convert to fraction form
    406,401.30/560,811.60 = 225,099/x
  3. Step 3: Cross multiply
    406,401.30x = 560,811.60 × 225,099
  4. Step 4: Simplify right side
    406,401.30x = 126,238,130,348.40
  5. Step 5: Solve for x
    x = 126,238,130,348.40/406,401.30
  6. Step 6: Final answer
    x = 310,624.33

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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.