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Finding the Fourth Proportional to 418,991.13, 578,219.82 and 228,016.62

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Solution

The fourth proportional to 418,991.13, 578,219.82 and 228,016.62 is: 314,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,991.13 : 578,219.82 = 228,016.62 : x
  2. Step 2: Convert to fraction form
    418,991.13/578,219.82 = 228,016.62/x
  3. Step 3: Cross multiply
    418,991.13x = 578,219.82 × 228,016.62
  4. Step 4: Simplify right side
    418,991.13x = 131,843,728,973.41
  5. Step 5: Solve for x
    x = 131,843,728,973.41/418,991.13
  6. Step 6: Final answer
    x = 314,669.50

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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.