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Finding the Fourth Proportional to 296,187.71, 408,313.91 and 211,157.15

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Solution

The fourth proportional to 296,187.71, 408,313.91 and 211,157.15 is: 291,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,187.71 : 408,313.91 = 211,157.15 : x
  2. Step 2: Convert to fraction form
    296,187.71/408,313.91 = 211,157.15/x
  3. Step 3: Cross multiply
    296,187.71x = 408,313.91 × 211,157.15
  4. Step 4: Simplify right side
    296,187.71x = 86,218,399,499.39
  5. Step 5: Solve for x
    x = 86,218,399,499.39/296,187.71
  6. Step 6: Final answer
    x = 291,093.78

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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.