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Finding the Fourth Proportional to 356,191, 491,543.58 and 205,297.72

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Solution

The fourth proportional to 356,191, 491,543.58 and 205,297.72 is: 283,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,191 : 491,543.58 = 205,297.72 : x
  2. Step 2: Convert to fraction form
    356,191/491,543.58 = 205,297.72/x
  3. Step 3: Cross multiply
    356,191x = 491,543.58 × 205,297.72
  4. Step 4: Simplify right side
    356,191x = 100,912,776,254.64
  5. Step 5: Solve for x
    x = 100,912,776,254.64/356,191
  6. Step 6: Final answer
    x = 283,310.85

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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.