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Finding the Fourth Proportional to 513,150, 708,092.82 and 283,670.37

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Solution

The fourth proportional to 513,150, 708,092.82 and 283,670.37 is: 391,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,150 : 708,092.82 = 283,670.37 : x
  2. Step 2: Convert to fraction form
    513,150/708,092.82 = 283,670.37/x
  3. Step 3: Cross multiply
    513,150x = 708,092.82 × 283,670.37
  4. Step 4: Simplify right side
    513,150x = 200,864,952,243.74
  5. Step 5: Solve for x
    x = 200,864,952,243.74/513,150
  6. Step 6: Final answer
    x = 391,435.16

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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.