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Finding the Fourth Proportional to 256,101.90, 353,255.67 and 155,499.90

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Solution

The fourth proportional to 256,101.90, 353,255.67 and 155,499.90 is: 214,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.90 : 353,255.67 = 155,499.90 : x
  2. Step 2: Convert to fraction form
    256,101.90/353,255.67 = 155,499.90/x
  3. Step 3: Cross multiply
    256,101.90x = 353,255.67 × 155,499.90
  4. Step 4: Simplify right side
    256,101.90x = 54,931,221,359.43
  5. Step 5: Solve for x
    x = 54,931,221,359.43/256,101.90
  6. Step 6: Final answer
    x = 214,489.71

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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.