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Finding the Fourth Proportional to 255,976.20, 384,255.90 and 150,854.40

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Solution

The fourth proportional to 255,976.20, 384,255.90 and 150,854.40 is: 226,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,976.20 : 384,255.90 = 150,854.40 : x
  2. Step 2: Convert to fraction form
    255,976.20/384,255.90 = 150,854.40/x
  3. Step 3: Cross multiply
    255,976.20x = 384,255.90 × 150,854.40
  4. Step 4: Simplify right side
    255,976.20x = 57,966,693,240.96
  5. Step 5: Solve for x
    x = 57,966,693,240.96/255,976.20
  6. Step 6: Final answer
    x = 226,453.45

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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.