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Finding the Fourth Proportional to 398,894.22, 598,336.74 and 114,591.75

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Solution

The fourth proportional to 398,894.22, 598,336.74 and 114,591.75 is: 171,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,894.22 : 598,336.74 = 114,591.75 : x
  2. Step 2: Convert to fraction form
    398,894.22/598,336.74 = 114,591.75/x
  3. Step 3: Cross multiply
    398,894.22x = 598,336.74 × 114,591.75
  4. Step 4: Simplify right side
    398,894.22x = 68,564,454,125.90
  5. Step 5: Solve for x
    x = 68,564,454,125.90/398,894.22
  6. Step 6: Final answer
    x = 171,886.31

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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.