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Finding the Fourth Proportional to 398,893.72, 598,336 and 114,591.24

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Solution

The fourth proportional to 398,893.72, 598,336 and 114,591.24 is: 171,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,893.72 : 598,336 = 114,591.24 : x
  2. Step 2: Convert to fraction form
    398,893.72/598,336 = 114,591.24/x
  3. Step 3: Cross multiply
    398,893.72x = 598,336 × 114,591.24
  4. Step 4: Simplify right side
    398,893.72x = 68,564,064,176.64
  5. Step 5: Solve for x
    x = 68,564,064,176.64/398,893.72
  6. Step 6: Final answer
    x = 171,885.54

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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.