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Finding the Fourth Proportional to 356,064.60, 491,380.76 and 194,919.66

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Solution

The fourth proportional to 356,064.60, 491,380.76 and 194,919.66 is: 268,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,064.60 : 491,380.76 = 194,919.66 : x
  2. Step 2: Convert to fraction form
    356,064.60/491,380.76 = 194,919.66/x
  3. Step 3: Cross multiply
    356,064.60x = 491,380.76 × 194,919.66
  4. Step 4: Simplify right side
    356,064.60x = 95,779,771,157.04
  5. Step 5: Solve for x
    x = 95,779,771,157.04/356,064.60
  6. Step 6: Final answer
    x = 268,995.49

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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.