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Finding the Fourth Proportional to 426,778.02, 640,339.16 and 189,958.73

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Solution

The fourth proportional to 426,778.02, 640,339.16 and 189,958.73 is: 285,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,778.02 : 640,339.16 = 189,958.73 : x
  2. Step 2: Convert to fraction form
    426,778.02/640,339.16 = 189,958.73/x
  3. Step 3: Cross multiply
    426,778.02x = 640,339.16 × 189,958.73
  4. Step 4: Simplify right side
    426,778.02x = 121,638,009,451.38
  5. Step 5: Solve for x
    x = 121,638,009,451.38/426,778.02
  6. Step 6: Final answer
    x = 285,014.70

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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.