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Finding the Fourth Proportional to 370,784.22, 511,708.44 and 209,640.84

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Solution

The fourth proportional to 370,784.22, 511,708.44 and 209,640.84 is: 289,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,784.22 : 511,708.44 = 209,640.84 : x
  2. Step 2: Convert to fraction form
    370,784.22/511,708.44 = 209,640.84/x
  3. Step 3: Cross multiply
    370,784.22x = 511,708.44 × 209,640.84
  4. Step 4: Simplify right side
    370,784.22x = 107,274,987,196.69
  5. Step 5: Solve for x
    x = 107,274,987,196.69/370,784.22
  6. Step 6: Final answer
    x = 289,319.18

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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.