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Finding the Fourth Proportional to 406,398.51, 560,824.02 and 225,109.85

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Solution

The fourth proportional to 406,398.51, 560,824.02 and 225,109.85 is: 310,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,398.51 : 560,824.02 = 225,109.85 : x
  2. Step 2: Convert to fraction form
    406,398.51/560,824.02 = 225,109.85/x
  3. Step 3: Cross multiply
    406,398.51x = 560,824.02 × 225,109.85
  4. Step 4: Simplify right side
    406,398.51x = 126,247,011,018.60
  5. Step 5: Solve for x
    x = 126,247,011,018.60/406,398.51
  6. Step 6: Final answer
    x = 310,648.31

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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.