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Finding the Fourth Proportional to 356,192, 491,544.96 and 205,298.72

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Solution

The fourth proportional to 356,192, 491,544.96 and 205,298.72 is: 283,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,192 : 491,544.96 = 205,298.72 : x
  2. Step 2: Convert to fraction form
    356,192/491,544.96 = 205,298.72/x
  3. Step 3: Cross multiply
    356,192x = 491,544.96 × 205,298.72
  4. Step 4: Simplify right side
    356,192x = 100,913,551,110.45
  5. Step 5: Solve for x
    x = 100,913,551,110.45/356,192
  6. Step 6: Final answer
    x = 283,312.23

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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.