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Finding the Fourth Proportional to 456,189.44, 684,400.80 and 189,861.44

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Solution

The fourth proportional to 456,189.44, 684,400.80 and 189,861.44 is: 284,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,189.44 : 684,400.80 = 189,861.44 : x
  2. Step 2: Convert to fraction form
    456,189.44/684,400.80 = 189,861.44/x
  3. Step 3: Cross multiply
    456,189.44x = 684,400.80 × 189,861.44
  4. Step 4: Simplify right side
    456,189.44x = 129,941,321,425.15
  5. Step 5: Solve for x
    x = 129,941,321,425.15/456,189.44
  6. Step 6: Final answer
    x = 284,840.70

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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.