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Finding the Fourth Proportional to 298,140.52, 411,617.70 and 205,166.44

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Solution

The fourth proportional to 298,140.52, 411,617.70 and 205,166.44 is: 283,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,140.52 : 411,617.70 = 205,166.44 : x
  2. Step 2: Convert to fraction form
    298,140.52/411,617.70 = 205,166.44/x
  3. Step 3: Cross multiply
    298,140.52x = 411,617.70 × 205,166.44
  4. Step 4: Simplify right side
    298,140.52x = 84,450,138,149.99
  5. Step 5: Solve for x
    x = 84,450,138,149.99/298,140.52
  6. Step 6: Final answer
    x = 283,256.16

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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.