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Finding the Fourth Proportional to 465,165.72, 641,878.65 and 261,238.86

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Solution

The fourth proportional to 465,165.72, 641,878.65 and 261,238.86 is: 360,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,165.72 : 641,878.65 = 261,238.86 : x
  2. Step 2: Convert to fraction form
    465,165.72/641,878.65 = 261,238.86/x
  3. Step 3: Cross multiply
    465,165.72x = 641,878.65 × 261,238.86
  4. Step 4: Simplify right side
    465,165.72x = 167,683,646,784.34
  5. Step 5: Solve for x
    x = 167,683,646,784.34/465,165.72
  6. Step 6: Final answer
    x = 360,481.52

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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.