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Finding the Fourth Proportional to 370,806.30, 511,722.77 and 209,685.46

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Solution

The fourth proportional to 370,806.30, 511,722.77 and 209,685.46 is: 289,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,806.30 : 511,722.77 = 209,685.46 : x
  2. Step 2: Convert to fraction form
    370,806.30/511,722.77 = 209,685.46/x
  3. Step 3: Cross multiply
    370,806.30x = 511,722.77 × 209,685.46
  4. Step 4: Simplify right side
    370,806.30x = 107,300,821,861.31
  5. Step 5: Solve for x
    x = 107,300,821,861.31/370,806.30
  6. Step 6: Final answer
    x = 289,371.63

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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.