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Finding the Fourth Proportional to 416,112.88, 574,823.64 and 331,121.20

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Solution

The fourth proportional to 416,112.88, 574,823.64 and 331,121.20 is: 457,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,112.88 : 574,823.64 = 331,121.20 : x
  2. Step 2: Convert to fraction form
    416,112.88/574,823.64 = 331,121.20/x
  3. Step 3: Cross multiply
    416,112.88x = 574,823.64 × 331,121.20
  4. Step 4: Simplify right side
    416,112.88x = 190,336,293,465.17
  5. Step 5: Solve for x
    x = 190,336,293,465.17/416,112.88
  6. Step 6: Final answer
    x = 457,415.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.