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Finding the Fourth Proportional to 256,235.54, 384,221.88 and 149,827.39

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Solution

The fourth proportional to 256,235.54, 384,221.88 and 149,827.39 is: 224,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,235.54 : 384,221.88 = 149,827.39 : x
  2. Step 2: Convert to fraction form
    256,235.54/384,221.88 = 149,827.39/x
  3. Step 3: Cross multiply
    256,235.54x = 384,221.88 × 149,827.39
  4. Step 4: Simplify right side
    256,235.54x = 57,566,960,500.74
  5. Step 5: Solve for x
    x = 57,566,960,500.74/256,235.54
  6. Step 6: Final answer
    x = 224,664.24

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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.