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Finding the Fourth Proportional to 401,204.64, 553,641.84 and 231,428.64

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Solution

The fourth proportional to 401,204.64, 553,641.84 and 231,428.64 is: 319,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,204.64 : 553,641.84 = 231,428.64 : x
  2. Step 2: Convert to fraction form
    401,204.64/553,641.84 = 231,428.64/x
  3. Step 3: Cross multiply
    401,204.64x = 553,641.84 × 231,428.64
  4. Step 4: Simplify right side
    401,204.64x = 128,128,578,078.30
  5. Step 5: Solve for x
    x = 128,128,578,078.30/401,204.64
  6. Step 6: Final answer
    x = 319,359.66

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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.