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Finding the Fourth Proportional to 447,164.28, 617,131.98 and 256,203

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Solution

The fourth proportional to 447,164.28, 617,131.98 and 256,203 is: 353,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,164.28 : 617,131.98 = 256,203 : x
  2. Step 2: Convert to fraction form
    447,164.28/617,131.98 = 256,203/x
  3. Step 3: Cross multiply
    447,164.28x = 617,131.98 × 256,203
  4. Step 4: Simplify right side
    447,164.28x = 158,111,064,671.94
  5. Step 5: Solve for x
    x = 158,111,064,671.94/447,164.28
  6. Step 6: Final answer
    x = 353,586.08

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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.