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Finding the Fourth Proportional to 298,101.52, 411,563.88 and 205,127.20

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Solution

The fourth proportional to 298,101.52, 411,563.88 and 205,127.20 is: 283,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,101.52 : 411,563.88 = 205,127.20 : x
  2. Step 2: Convert to fraction form
    298,101.52/411,563.88 = 205,127.20/x
  3. Step 3: Cross multiply
    298,101.52x = 411,563.88 × 205,127.20
  4. Step 4: Simplify right side
    298,101.52x = 84,422,946,325.54
  5. Step 5: Solve for x
    x = 84,422,946,325.54/298,101.52
  6. Step 6: Final answer
    x = 283,202.00

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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.