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Finding the Fourth Proportional to 650,120.34, 897,241.84 and 378,199.69

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Solution

The fourth proportional to 650,120.34, 897,241.84 and 378,199.69 is: 521,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,120.34 : 897,241.84 = 378,199.69 : x
  2. Step 2: Convert to fraction form
    650,120.34/897,241.84 = 378,199.69/x
  3. Step 3: Cross multiply
    650,120.34x = 897,241.84 × 378,199.69
  4. Step 4: Simplify right side
    650,120.34x = 339,336,585,743.03
  5. Step 5: Solve for x
    x = 339,336,585,743.03/650,120.34
  6. Step 6: Final answer
    x = 521,959.65

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1.5x scale

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.