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Finding the Fourth Proportional to 397,062.87, 547,669.65 and 261,053.34

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Solution

The fourth proportional to 397,062.87, 547,669.65 and 261,053.34 is: 360,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,062.87 : 547,669.65 = 261,053.34 : x
  2. Step 2: Convert to fraction form
    397,062.87/547,669.65 = 261,053.34/x
  3. Step 3: Cross multiply
    397,062.87x = 547,669.65 × 261,053.34
  4. Step 4: Simplify right side
    397,062.87x = 142,970,991,349.13
  5. Step 5: Solve for x
    x = 142,970,991,349.13/397,062.87
  6. Step 6: Final answer
    x = 360,071.42

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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.