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Finding the Fourth Proportional to 370,508.48, 511,301.75 and 200,742.60

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Solution

The fourth proportional to 370,508.48, 511,301.75 and 200,742.60 is: 277,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,508.48 : 511,301.75 = 200,742.60 : x
  2. Step 2: Convert to fraction form
    370,508.48/511,301.75 = 200,742.60/x
  3. Step 3: Cross multiply
    370,508.48x = 511,301.75 × 200,742.60
  4. Step 4: Simplify right side
    370,508.48x = 102,640,043,181.41
  5. Step 5: Solve for x
    x = 102,640,043,181.41/370,508.48
  6. Step 6: Final answer
    x = 277,024.82

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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.