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Finding the Fourth Proportional to 370,377.09, 511,117.70 and 200,610

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Solution

The fourth proportional to 370,377.09, 511,117.70 and 200,610 is: 276,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,377.09 : 511,117.70 = 200,610 : x
  2. Step 2: Convert to fraction form
    370,377.09/511,117.70 = 200,610/x
  3. Step 3: Cross multiply
    370,377.09x = 511,117.70 × 200,610
  4. Step 4: Simplify right side
    370,377.09x = 102,535,320,793.95
  5. Step 5: Solve for x
    x = 102,535,320,793.95/370,377.09
  6. Step 6: Final answer
    x = 276,840.34

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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.