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Finding the Fourth Proportional to 307,703.61, 424,296.23 and 200,074.05

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Solution

The fourth proportional to 307,703.61, 424,296.23 and 200,074.05 is: 275,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,703.61 : 424,296.23 = 200,074.05 : x
  2. Step 2: Convert to fraction form
    307,703.61/424,296.23 = 200,074.05/x
  3. Step 3: Cross multiply
    307,703.61x = 424,296.23 × 200,074.05
  4. Step 4: Simplify right side
    307,703.61x = 84,890,664,135.46
  5. Step 5: Solve for x
    x = 84,890,664,135.46/307,703.61
  6. Step 6: Final answer
    x = 275,884.52

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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.