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Finding the Fourth Proportional to 409,099.92, 613,635.30 and 142,859.40

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Solution

The fourth proportional to 409,099.92, 613,635.30 and 142,859.40 is: 214,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,099.92 : 613,635.30 = 142,859.40 : x
  2. Step 2: Convert to fraction form
    409,099.92/613,635.30 = 142,859.40/x
  3. Step 3: Cross multiply
    409,099.92x = 613,635.30 × 142,859.40
  4. Step 4: Simplify right side
    409,099.92x = 87,663,570,776.82
  5. Step 5: Solve for x
    x = 87,663,570,776.82/409,099.92
  6. Step 6: Final answer
    x = 214,284.01

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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.