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Finding the Fourth Proportional to 356,110.72, 491,434.22 and 194,980.77

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Solution

The fourth proportional to 356,110.72, 491,434.22 and 194,980.77 is: 269,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,110.72 : 491,434.22 = 194,980.77 : x
  2. Step 2: Convert to fraction form
    356,110.72/491,434.22 = 194,980.77/x
  3. Step 3: Cross multiply
    356,110.72x = 491,434.22 × 194,980.77
  4. Step 4: Simplify right side
    356,110.72x = 95,820,223,107.40
  5. Step 5: Solve for x
    x = 95,820,223,107.40/356,110.72
  6. Step 6: Final answer
    x = 269,074.25

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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.