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Finding the Fourth Proportional to 255,906.72, 353,221.56 and 148,511.34

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Solution

The fourth proportional to 255,906.72, 353,221.56 and 148,511.34 is: 204,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.72 : 353,221.56 = 148,511.34 : x
  2. Step 2: Convert to fraction form
    255,906.72/353,221.56 = 148,511.34/x
  3. Step 3: Cross multiply
    255,906.72x = 353,221.56 × 148,511.34
  4. Step 4: Simplify right side
    255,906.72x = 52,457,407,192.49
  5. Step 5: Solve for x
    x = 52,457,407,192.49/255,906.72
  6. Step 6: Final answer
    x = 204,986.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.