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Finding the Fourth Proportional to 279,855.84, 419,783.61 and 102,265.95

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Solution

The fourth proportional to 279,855.84, 419,783.61 and 102,265.95 is: 153,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,855.84 : 419,783.61 = 102,265.95 : x
  2. Step 2: Convert to fraction form
    279,855.84/419,783.61 = 102,265.95/x
  3. Step 3: Cross multiply
    279,855.84x = 419,783.61 × 102,265.95
  4. Step 4: Simplify right side
    279,855.84x = 42,929,569,671.08
  5. Step 5: Solve for x
    x = 42,929,569,671.08/279,855.84
  6. Step 6: Final answer
    x = 153,398.87

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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.