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Finding the Fourth Proportional to 276,815.04, 415,222.80 and 198,083.04

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Solution

The fourth proportional to 276,815.04, 415,222.80 and 198,083.04 is: 297,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,815.04 : 415,222.80 = 198,083.04 : x
  2. Step 2: Convert to fraction form
    276,815.04/415,222.80 = 198,083.04/x
  3. Step 3: Cross multiply
    276,815.04x = 415,222.80 × 198,083.04
  4. Step 4: Simplify right side
    276,815.04x = 82,248,594,501.31
  5. Step 5: Solve for x
    x = 82,248,594,501.31/276,815.04
  6. Step 6: Final answer
    x = 297,124.73

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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.