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Finding the Fourth Proportional to 256,068.80, 384,103.20 and 165,867.20

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Solution

The fourth proportional to 256,068.80, 384,103.20 and 165,867.20 is: 248,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,068.80 : 384,103.20 = 165,867.20 : x
  2. Step 2: Convert to fraction form
    256,068.80/384,103.20 = 165,867.20/x
  3. Step 3: Cross multiply
    256,068.80x = 384,103.20 × 165,867.20
  4. Step 4: Simplify right side
    256,068.80x = 63,710,122,295.04
  5. Step 5: Solve for x
    x = 63,710,122,295.04/256,068.80
  6. Step 6: Final answer
    x = 248,800.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.