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Finding the Fourth Proportional to 409,040.35, 613,840.77 and 142,800.86

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Solution

The fourth proportional to 409,040.35, 613,840.77 and 142,800.86 is: 214,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,040.35 : 613,840.77 = 142,800.86 : x
  2. Step 2: Convert to fraction form
    409,040.35/613,840.77 = 142,800.86/x
  3. Step 3: Cross multiply
    409,040.35x = 613,840.77 × 142,800.86
  4. Step 4: Simplify right side
    409,040.35x = 87,656,989,859.06
  5. Step 5: Solve for x
    x = 87,656,989,859.06/409,040.35
  6. Step 6: Final answer
    x = 214,299.13

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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.