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Finding the Fourth Proportional to 256,211.40, 384,374.70 and 150,976.20

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Solution

The fourth proportional to 256,211.40, 384,374.70 and 150,976.20 is: 226,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.40 : 384,374.70 = 150,976.20 : x
  2. Step 2: Convert to fraction form
    256,211.40/384,374.70 = 150,976.20/x
  3. Step 3: Cross multiply
    256,211.40x = 384,374.70 × 150,976.20
  4. Step 4: Simplify right side
    256,211.40x = 58,031,431,582.14
  5. Step 5: Solve for x
    x = 58,031,431,582.14/256,211.40
  6. Step 6: Final answer
    x = 226,498.24

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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.