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Finding the Fourth Proportional to 370,760, 511,645.76 and 200,989.76

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Solution

The fourth proportional to 370,760, 511,645.76 and 200,989.76 is: 277,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,760 : 511,645.76 = 200,989.76 : x
  2. Step 2: Convert to fraction form
    370,760/511,645.76 = 200,989.76/x
  3. Step 3: Cross multiply
    370,760x = 511,645.76 × 200,989.76
  4. Step 4: Simplify right side
    370,760x = 102,835,558,507.42
  5. Step 5: Solve for x
    x = 102,835,558,507.42/370,760
  6. Step 6: Final answer
    x = 277,364.22

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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.