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Finding the Fourth Proportional to 287,647.90, 396,946.22 and 165,136.66

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Solution

The fourth proportional to 287,647.90, 396,946.22 and 165,136.66 is: 227,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,647.90 : 396,946.22 = 165,136.66 : x
  2. Step 2: Convert to fraction form
    287,647.90/396,946.22 = 165,136.66/x
  3. Step 3: Cross multiply
    287,647.90x = 396,946.22 × 165,136.66
  4. Step 4: Simplify right side
    287,647.90x = 65,550,372,970.43
  5. Step 5: Solve for x
    x = 65,550,372,970.43/287,647.90
  6. Step 6: Final answer
    x = 227,884.07

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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.