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Finding the Fourth Proportional to 401,638.72, 553,806.96 and 256,250

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Solution

The fourth proportional to 401,638.72, 553,806.96 and 256,250 is: 353,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,638.72 : 553,806.96 = 256,250 : x
  2. Step 2: Convert to fraction form
    401,638.72/553,806.96 = 256,250/x
  3. Step 3: Cross multiply
    401,638.72x = 553,806.96 × 256,250
  4. Step 4: Simplify right side
    401,638.72x = 141,913,033,500
  5. Step 5: Solve for x
    x = 141,913,033,500/401,638.72
  6. Step 6: Final answer
    x = 353,335.04

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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.