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Finding the Fourth Proportional to 400,957.76, 553,297.92 and 219,633.44

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Solution

The fourth proportional to 400,957.76, 553,297.92 and 219,633.44 is: 303,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,957.76 : 553,297.92 = 219,633.44 : x
  2. Step 2: Convert to fraction form
    400,957.76/553,297.92 = 219,633.44/x
  3. Step 3: Cross multiply
    400,957.76x = 553,297.92 × 219,633.44
  4. Step 4: Simplify right side
    400,957.76x = 121,522,725,514.45
  5. Step 5: Solve for x
    x = 121,522,725,514.45/400,957.76
  6. Step 6: Final answer
    x = 303,081.12

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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.