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Finding the Fourth Proportional to 280,202.26, 420,154.86 and 122,246.18

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Solution

The fourth proportional to 280,202.26, 420,154.86 and 122,246.18 is: 183,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,202.26 : 420,154.86 = 122,246.18 : x
  2. Step 2: Convert to fraction form
    280,202.26/420,154.86 = 122,246.18/x
  3. Step 3: Cross multiply
    280,202.26x = 420,154.86 × 122,246.18
  4. Step 4: Simplify right side
    280,202.26x = 51,362,326,643.43
  5. Step 5: Solve for x
    x = 51,362,326,643.43/280,202.26
  6. Step 6: Final answer
    x = 183,304.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.