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Finding the Fourth Proportional to 456,216.18, 684,310.08 and 189,969.98

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Solution

The fourth proportional to 456,216.18, 684,310.08 and 189,969.98 is: 284,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,216.18 : 684,310.08 = 189,969.98 : x
  2. Step 2: Convert to fraction form
    456,216.18/684,310.08 = 189,969.98/x
  3. Step 3: Cross multiply
    456,216.18x = 684,310.08 × 189,969.98
  4. Step 4: Simplify right side
    456,216.18x = 129,998,372,211.40
  5. Step 5: Solve for x
    x = 129,998,372,211.40/456,216.18
  6. Step 6: Final answer
    x = 284,949.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.