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Finding the Fourth Proportional to 401,453.76, 553,987.44 and 231,742.56

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Solution

The fourth proportional to 401,453.76, 553,987.44 and 231,742.56 is: 319,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,453.76 : 553,987.44 = 231,742.56 : x
  2. Step 2: Convert to fraction form
    401,453.76/553,987.44 = 231,742.56/x
  3. Step 3: Cross multiply
    401,453.76x = 553,987.44 × 231,742.56
  4. Step 4: Simplify right side
    401,453.76x = 128,382,467,553.45
  5. Step 5: Solve for x
    x = 128,382,467,553.45/401,453.76
  6. Step 6: Final answer
    x = 319,793.91

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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.