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Finding the Fourth Proportional to 256,230.20, 384,345.30 and 181,434.80

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Solution

The fourth proportional to 256,230.20, 384,345.30 and 181,434.80 is: 272,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,230.20 : 384,345.30 = 181,434.80 : x
  2. Step 2: Convert to fraction form
    256,230.20/384,345.30 = 181,434.80/x
  3. Step 3: Cross multiply
    256,230.20x = 384,345.30 × 181,434.80
  4. Step 4: Simplify right side
    256,230.20x = 69,733,612,636.44
  5. Step 5: Solve for x
    x = 69,733,612,636.44/256,230.20
  6. Step 6: Final answer
    x = 272,152.20

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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.