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Finding the Fourth Proportional to 372,813.82, 514,451.53 and 209,457.57

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Solution

The fourth proportional to 372,813.82, 514,451.53 and 209,457.57 is: 289,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,813.82 : 514,451.53 = 209,457.57 : x
  2. Step 2: Convert to fraction form
    372,813.82/514,451.53 = 209,457.57/x
  3. Step 3: Cross multiply
    372,813.82x = 514,451.53 × 209,457.57
  4. Step 4: Simplify right side
    372,813.82x = 107,755,764,903.75
  5. Step 5: Solve for x
    x = 107,755,764,903.75/372,813.82
  6. Step 6: Final answer
    x = 289,033.72

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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.