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Finding the Fourth Proportional to 401,394.56, 553,470.48 and 256,005.92

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Solution

The fourth proportional to 401,394.56, 553,470.48 and 256,005.92 is: 352,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,394.56 : 553,470.48 = 256,005.92 : x
  2. Step 2: Convert to fraction form
    401,394.56/553,470.48 = 256,005.92/x
  3. Step 3: Cross multiply
    401,394.56x = 553,470.48 × 256,005.92
  4. Step 4: Simplify right side
    401,394.56x = 141,691,719,425.24
  5. Step 5: Solve for x
    x = 141,691,719,425.24/401,394.56
  6. Step 6: Final answer
    x = 352,998.60

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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.