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Finding the Fourth Proportional to 401,408.68, 553,939.41 and 231,639.16

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Solution

The fourth proportional to 401,408.68, 553,939.41 and 231,639.16 is: 319,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,408.68 : 553,939.41 = 231,639.16 : x
  2. Step 2: Convert to fraction form
    401,408.68/553,939.41 = 231,639.16/x
  3. Step 3: Cross multiply
    401,408.68x = 553,939.41 × 231,639.16
  4. Step 4: Simplify right side
    401,408.68x = 128,314,059,623.30
  5. Step 5: Solve for x
    x = 128,314,059,623.30/401,408.68
  6. Step 6: Final answer
    x = 319,659.40

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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.