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Finding the Fourth Proportional to 409,415.96, 614,123.94 and 159,923

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Solution

The fourth proportional to 409,415.96, 614,123.94 and 159,923 is: 239,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.96 : 614,123.94 = 159,923 : x
  2. Step 2: Convert to fraction form
    409,415.96/614,123.94 = 159,923/x
  3. Step 3: Cross multiply
    409,415.96x = 614,123.94 × 159,923
  4. Step 4: Simplify right side
    409,415.96x = 98,212,542,856.62
  5. Step 5: Solve for x
    x = 98,212,542,856.62/409,415.96
  6. Step 6: Final answer
    x = 239,884.50

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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.