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Finding the Fourth Proportional to 370,508.60, 511,301.92 and 200,742.72

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Solution

The fourth proportional to 370,508.60, 511,301.92 and 200,742.72 is: 277,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,508.60 : 511,301.92 = 200,742.72 : x
  2. Step 2: Convert to fraction form
    370,508.60/511,301.92 = 200,742.72/x
  3. Step 3: Cross multiply
    370,508.60x = 511,301.92 × 200,742.72
  4. Step 4: Simplify right side
    370,508.60x = 102,640,138,162.02
  5. Step 5: Solve for x
    x = 102,640,138,162.02/370,508.60
  6. Step 6: Final answer
    x = 277,024.98

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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.