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Finding the Fourth Proportional to 256,642.72, 385,296.86 and 171,796.40

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Solution

The fourth proportional to 256,642.72, 385,296.86 and 171,796.40 is: 257,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,642.72 : 385,296.86 = 171,796.40 : x
  2. Step 2: Convert to fraction form
    256,642.72/385,296.86 = 171,796.40/x
  3. Step 3: Cross multiply
    256,642.72x = 385,296.86 × 171,796.40
  4. Step 4: Simplify right side
    256,642.72x = 66,192,613,479.30
  5. Step 5: Solve for x
    x = 66,192,613,479.30/256,642.72
  6. Step 6: Final answer
    x = 257,917.36

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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.