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Finding the Fourth Proportional to 427,158.60, 640,670.64 and 142,846.96

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Solution

The fourth proportional to 427,158.60, 640,670.64 and 142,846.96 is: 214,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,158.60 : 640,670.64 = 142,846.96 : x
  2. Step 2: Convert to fraction form
    427,158.60/640,670.64 = 142,846.96/x
  3. Step 3: Cross multiply
    427,158.60x = 640,670.64 × 142,846.96
  4. Step 4: Simplify right side
    427,158.60x = 91,517,853,285.25
  5. Step 5: Solve for x
    x = 91,517,853,285.25/427,158.60
  6. Step 6: Final answer
    x = 214,247.95

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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.