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Finding the Fourth Proportional to 416,159.40, 624,257.27 and 131,870.90

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Solution

The fourth proportional to 416,159.40, 624,257.27 and 131,870.90 is: 197,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,159.40 : 624,257.27 = 131,870.90 : x
  2. Step 2: Convert to fraction form
    416,159.40/624,257.27 = 131,870.90/x
  3. Step 3: Cross multiply
    416,159.40x = 624,257.27 × 131,870.90
  4. Step 4: Simplify right side
    416,159.40x = 82,321,369,422.25
  5. Step 5: Solve for x
    x = 82,321,369,422.25/416,159.40
  6. Step 6: Final answer
    x = 197,812.11

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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.