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Finding the Fourth Proportional to 401,383.56, 553,495.86 and 280,480.80

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Solution

The fourth proportional to 401,383.56, 553,495.86 and 280,480.80 is: 386,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,383.56 : 553,495.86 = 280,480.80 : x
  2. Step 2: Convert to fraction form
    401,383.56/553,495.86 = 280,480.80/x
  3. Step 3: Cross multiply
    401,383.56x = 553,495.86 × 280,480.80
  4. Step 4: Simplify right side
    401,383.56x = 155,244,961,609.49
  5. Step 5: Solve for x
    x = 155,244,961,609.49/401,383.56
  6. Step 6: Final answer
    x = 386,774.59

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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.