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Finding the Fourth Proportional to 406,391.51, 560,814.36 and 225,102.85

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Solution

The fourth proportional to 406,391.51, 560,814.36 and 225,102.85 is: 310,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,391.51 : 560,814.36 = 225,102.85 : x
  2. Step 2: Convert to fraction form
    406,391.51/560,814.36 = 225,102.85/x
  3. Step 3: Cross multiply
    406,391.51x = 560,814.36 × 225,102.85
  4. Step 4: Simplify right side
    406,391.51x = 126,240,907,952.85
  5. Step 5: Solve for x
    x = 126,240,907,952.85/406,391.51
  6. Step 6: Final answer
    x = 310,638.64

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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.