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Finding the Fourth Proportional to 401,638.47, 553,806.62 and 256,249.74

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Solution

The fourth proportional to 401,638.47, 553,806.62 and 256,249.74 is: 353,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,638.47 : 553,806.62 = 256,249.74 : x
  2. Step 2: Convert to fraction form
    401,638.47/553,806.62 = 256,249.74/x
  3. Step 3: Cross multiply
    401,638.47x = 553,806.62 × 256,249.74
  4. Step 4: Simplify right side
    401,638.47x = 141,912,801,104.03
  5. Step 5: Solve for x
    x = 141,912,801,104.03/401,638.47
  6. Step 6: Final answer
    x = 353,334.68

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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.