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Finding the Fourth Proportional to 465,186.72, 642,027.12 and 284,003.68

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Solution

The fourth proportional to 465,186.72, 642,027.12 and 284,003.68 is: 391,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,186.72 : 642,027.12 = 284,003.68 : x
  2. Step 2: Convert to fraction form
    465,186.72/642,027.12 = 284,003.68/x
  3. Step 3: Cross multiply
    465,186.72x = 642,027.12 × 284,003.68
  4. Step 4: Simplify right side
    465,186.72x = 182,338,064,739.80
  5. Step 5: Solve for x
    x = 182,338,064,739.80/465,186.72
  6. Step 6: Final answer
    x = 391,967.48

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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.