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Finding the Fourth Proportional to 280,627.40, 421,107.17 and 103,258.95

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Solution

The fourth proportional to 280,627.40, 421,107.17 and 103,258.95 is: 154,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,627.40 : 421,107.17 = 103,258.95 : x
  2. Step 2: Convert to fraction form
    280,627.40/421,107.17 = 103,258.95/x
  3. Step 3: Cross multiply
    280,627.40x = 421,107.17 × 103,258.95
  4. Step 4: Simplify right side
    280,627.40x = 43,483,083,695.38
  5. Step 5: Solve for x
    x = 43,483,083,695.38/280,627.40
  6. Step 6: Final answer
    x = 154,949.53

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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.