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Finding the Fourth Proportional to 256,125.80, 384,188.70 and 163,044.20

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Solution

The fourth proportional to 256,125.80, 384,188.70 and 163,044.20 is: 244,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,125.80 : 384,188.70 = 163,044.20 : x
  2. Step 2: Convert to fraction form
    256,125.80/384,188.70 = 163,044.20/x
  3. Step 3: Cross multiply
    256,125.80x = 384,188.70 × 163,044.20
  4. Step 4: Simplify right side
    256,125.80x = 62,639,739,240.54
  5. Step 5: Solve for x
    x = 62,639,739,240.54/256,125.80
  6. Step 6: Final answer
    x = 244,566.30

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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.