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Finding the Fourth Proportional to 399,257.64, 550,856.16 and 255,767.76

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Solution

The fourth proportional to 399,257.64, 550,856.16 and 255,767.76 is: 352,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,257.64 : 550,856.16 = 255,767.76 : x
  2. Step 2: Convert to fraction form
    399,257.64/550,856.16 = 255,767.76/x
  3. Step 3: Cross multiply
    399,257.64x = 550,856.16 × 255,767.76
  4. Step 4: Simplify right side
    399,257.64x = 140,891,246,125.40
  5. Step 5: Solve for x
    x = 140,891,246,125.40/399,257.64
  6. Step 6: Final answer
    x = 352,883.03

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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.