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Finding the Fourth Proportional to 613,961.76, 921,074.40 and 347,849.76

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Solution

The fourth proportional to 613,961.76, 921,074.40 and 347,849.76 is: 521,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,961.76 : 921,074.40 = 347,849.76 : x
  2. Step 2: Convert to fraction form
    613,961.76/921,074.40 = 347,849.76/x
  3. Step 3: Cross multiply
    613,961.76x = 921,074.40 × 347,849.76
  4. Step 4: Simplify right side
    613,961.76x = 320,395,508,982.14
  5. Step 5: Solve for x
    x = 320,395,508,982.14/613,961.76
  6. Step 6: Final answer
    x = 521,849.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.