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Finding the Fourth Proportional to 309,709.38, 427,457.31 and 202,092.60

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Solution

The fourth proportional to 309,709.38, 427,457.31 and 202,092.60 is: 278,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,709.38 : 427,457.31 = 202,092.60 : x
  2. Step 2: Convert to fraction form
    309,709.38/427,457.31 = 202,092.60/x
  3. Step 3: Cross multiply
    309,709.38x = 427,457.31 × 202,092.60
  4. Step 4: Simplify right side
    309,709.38x = 86,385,959,166.91
  5. Step 5: Solve for x
    x = 86,385,959,166.91/309,709.38
  6. Step 6: Final answer
    x = 278,925.87

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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.