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Finding the Fourth Proportional to 331,530.41, 497,299.08 and 265,390.97

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Solution

The fourth proportional to 331,530.41, 497,299.08 and 265,390.97 is: 398,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,530.41 : 497,299.08 = 265,390.97 : x
  2. Step 2: Convert to fraction form
    331,530.41/497,299.08 = 265,390.97/x
  3. Step 3: Cross multiply
    331,530.41x = 497,299.08 × 265,390.97
  4. Step 4: Simplify right side
    331,530.41x = 131,978,685,594.90
  5. Step 5: Solve for x
    x = 131,978,685,594.90/331,530.41
  6. Step 6: Final answer
    x = 398,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.