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Finding the Fourth Proportional to 398,939.40, 598,404.24 and 114,636.60

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Solution

The fourth proportional to 398,939.40, 598,404.24 and 114,636.60 is: 171,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,939.40 : 598,404.24 = 114,636.60 : x
  2. Step 2: Convert to fraction form
    398,939.40/598,404.24 = 114,636.60/x
  3. Step 3: Cross multiply
    398,939.40x = 598,404.24 × 114,636.60
  4. Step 4: Simplify right side
    398,939.40x = 68,599,027,499.18
  5. Step 5: Solve for x
    x = 68,599,027,499.18/398,939.40
  6. Step 6: Final answer
    x = 171,953.50

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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.