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Finding the Fourth Proportional to 416,116.88, 574,829.16 and 331,125.20

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Solution

The fourth proportional to 416,116.88, 574,829.16 and 331,125.20 is: 457,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,116.88 : 574,829.16 = 331,125.20 : x
  2. Step 2: Convert to fraction form
    416,116.88/574,829.16 = 331,125.20/x
  3. Step 3: Cross multiply
    416,116.88x = 574,829.16 × 331,125.20
  4. Step 4: Simplify right side
    416,116.88x = 190,340,420,570.83
  5. Step 5: Solve for x
    x = 190,340,420,570.83/416,116.88
  6. Step 6: Final answer
    x = 457,420.57

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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.