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Finding the Fourth Proportional to 356,412.96, 491,671.62 and 213,135.30

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Solution

The fourth proportional to 356,412.96, 491,671.62 and 213,135.30 is: 294,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,412.96 : 491,671.62 = 213,135.30 : x
  2. Step 2: Convert to fraction form
    356,412.96/491,671.62 = 213,135.30/x
  3. Step 3: Cross multiply
    356,412.96x = 491,671.62 × 213,135.30
  4. Step 4: Simplify right side
    356,412.96x = 104,792,578,230.19
  5. Step 5: Solve for x
    x = 104,792,578,230.19/356,412.96
  6. Step 6: Final answer
    x = 294,020.11

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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.