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Finding the Fourth Proportional to 280,618.56, 420,915.12 and 103,112.58

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Solution

The fourth proportional to 280,618.56, 420,915.12 and 103,112.58 is: 154,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,618.56 : 420,915.12 = 103,112.58 : x
  2. Step 2: Convert to fraction form
    280,618.56/420,915.12 = 103,112.58/x
  3. Step 3: Cross multiply
    280,618.56x = 420,915.12 × 103,112.58
  4. Step 4: Simplify right side
    280,618.56x = 43,401,643,984.21
  5. Step 5: Solve for x
    x = 43,401,643,984.21/280,618.56
  6. Step 6: Final answer
    x = 154,664.20

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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.