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Finding the Fourth Proportional to 256,077.80, 384,116.70 and 165,876.20

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Solution

The fourth proportional to 256,077.80, 384,116.70 and 165,876.20 is: 248,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,077.80 : 384,116.70 = 165,876.20 : x
  2. Step 2: Convert to fraction form
    256,077.80/384,116.70 = 165,876.20/x
  3. Step 3: Cross multiply
    256,077.80x = 384,116.70 × 165,876.20
  4. Step 4: Simplify right side
    256,077.80x = 63,715,818,552.54
  5. Step 5: Solve for x
    x = 63,715,818,552.54/256,077.80
  6. Step 6: Final answer
    x = 248,814.30

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1.5x scale

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.