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Finding the Fourth Proportional to 280,684.44, 420,763.95 and 103,143.78

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Solution

The fourth proportional to 280,684.44, 420,763.95 and 103,143.78 is: 154,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,684.44 : 420,763.95 = 103,143.78 : x
  2. Step 2: Convert to fraction form
    280,684.44/420,763.95 = 103,143.78/x
  3. Step 3: Cross multiply
    280,684.44x = 420,763.95 × 103,143.78
  4. Step 4: Simplify right side
    280,684.44x = 43,399,184,290.73
  5. Step 5: Solve for x
    x = 43,399,184,290.73/280,684.44
  6. Step 6: Final answer
    x = 154,619.13

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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.