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Finding the Fourth Proportional to 280,287.86, 420,181.74 and 102,753.41

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Solution

The fourth proportional to 280,287.86, 420,181.74 and 102,753.41 is: 154,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,287.86 : 420,181.74 = 102,753.41 : x
  2. Step 2: Convert to fraction form
    280,287.86/420,181.74 = 102,753.41/x
  3. Step 3: Cross multiply
    280,287.86x = 420,181.74 × 102,753.41
  4. Step 4: Simplify right side
    280,287.86x = 43,175,106,604.73
  5. Step 5: Solve for x
    x = 43,175,106,604.73/280,287.86
  6. Step 6: Final answer
    x = 154,038.45

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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.