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Finding the Fourth Proportional to 256,404.80, 353,833.44 and 155,835.20

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Solution

The fourth proportional to 256,404.80, 353,833.44 and 155,835.20 is: 215,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,404.80 : 353,833.44 = 155,835.20 : x
  2. Step 2: Convert to fraction form
    256,404.80/353,833.44 = 155,835.20/x
  3. Step 3: Cross multiply
    256,404.80x = 353,833.44 × 155,835.20
  4. Step 4: Simplify right side
    256,404.80x = 55,139,704,889.09
  5. Step 5: Solve for x
    x = 55,139,704,889.09/256,404.80
  6. Step 6: Final answer
    x = 215,049.43

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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.