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Finding the Fourth Proportional to 620,507.84, 856,380 and 378,738.68

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Solution

The fourth proportional to 620,507.84, 856,380 and 378,738.68 is: 522,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,507.84 : 856,380 = 378,738.68 : x
  2. Step 2: Convert to fraction form
    620,507.84/856,380 = 378,738.68/x
  3. Step 3: Cross multiply
    620,507.84x = 856,380 × 378,738.68
  4. Step 4: Simplify right side
    620,507.84x = 324,344,230,778.40
  5. Step 5: Solve for x
    x = 324,344,230,778.40/620,507.84
  6. Step 6: Final answer
    x = 522,707.71

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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.