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Finding the Fourth Proportional to 369,905.31, 510,469.31 and 200,139.44

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Solution

The fourth proportional to 369,905.31, 510,469.31 and 200,139.44 is: 276,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,905.31 : 510,469.31 = 200,139.44 : x
  2. Step 2: Convert to fraction form
    369,905.31/510,469.31 = 200,139.44/x
  3. Step 3: Cross multiply
    369,905.31x = 510,469.31 × 200,139.44
  4. Step 4: Simplify right side
    369,905.31x = 102,165,038,287.54
  5. Step 5: Solve for x
    x = 102,165,038,287.54/369,905.31
  6. Step 6: Final answer
    x = 276,192.41

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1.5x scale

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.