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Finding the Fourth Proportional to 406,297.32, 560,691.84 and 225,005.28

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Solution

The fourth proportional to 406,297.32, 560,691.84 and 225,005.28 is: 310,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,297.32 : 560,691.84 = 225,005.28 : x
  2. Step 2: Convert to fraction form
    406,297.32/560,691.84 = 225,005.28/x
  3. Step 3: Cross multiply
    406,297.32x = 560,691.84 × 225,005.28
  4. Step 4: Simplify right side
    406,297.32x = 126,158,624,452.92
  5. Step 5: Solve for x
    x = 126,158,624,452.92/406,297.32
  6. Step 6: Final answer
    x = 310,508.14

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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.