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Finding the Fourth Proportional to 416,395.40, 624,499.62 and 191,539.88

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Solution

The fourth proportional to 416,395.40, 624,499.62 and 191,539.88 is: 287,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,395.40 : 624,499.62 = 191,539.88 : x
  2. Step 2: Convert to fraction form
    416,395.40/624,499.62 = 191,539.88/x
  3. Step 3: Cross multiply
    416,395.40x = 624,499.62 × 191,539.88
  4. Step 4: Simplify right side
    416,395.40x = 119,616,582,274.85
  5. Step 5: Solve for x
    x = 119,616,582,274.85/416,395.40
  6. Step 6: Final answer
    x = 287,266.82

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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.