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Finding the Fourth Proportional to 208,311.73, 312,457.15 and 73,382.49

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Solution

The fourth proportional to 208,311.73, 312,457.15 and 73,382.49 is: 110,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.73 : 312,457.15 = 73,382.49 : x
  2. Step 2: Convert to fraction form
    208,311.73/312,457.15 = 73,382.49/x
  3. Step 3: Cross multiply
    208,311.73x = 312,457.15 × 73,382.49
  4. Step 4: Simplify right side
    208,311.73x = 22,928,883,364.26
  5. Step 5: Solve for x
    x = 22,928,883,364.26/208,311.73
  6. Step 6: Final answer
    x = 110,070.05

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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.