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Finding the Fourth Proportional to 370,708.81, 511,600.22 and 209,578.85

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Solution

The fourth proportional to 370,708.81, 511,600.22 and 209,578.85 is: 289,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,708.81 : 511,600.22 = 209,578.85 : x
  2. Step 2: Convert to fraction form
    370,708.81/511,600.22 = 209,578.85/x
  3. Step 3: Cross multiply
    370,708.81x = 511,600.22 × 209,578.85
  4. Step 4: Simplify right side
    370,708.81x = 107,220,584,079.95
  5. Step 5: Solve for x
    x = 107,220,584,079.95/370,708.81
  6. Step 6: Final answer
    x = 289,231.28

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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.