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Finding the Fourth Proportional to 427,269.33, 589,397.31 and 274,136.54

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Solution

The fourth proportional to 427,269.33, 589,397.31 and 274,136.54 is: 378,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,269.33 : 589,397.31 = 274,136.54 : x
  2. Step 2: Convert to fraction form
    427,269.33/589,397.31 = 274,136.54/x
  3. Step 3: Cross multiply
    427,269.33x = 589,397.31 × 274,136.54
  4. Step 4: Simplify right side
    427,269.33x = 161,575,336,301.72
  5. Step 5: Solve for x
    x = 161,575,336,301.72/427,269.33
  6. Step 6: Final answer
    x = 378,158.05

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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.