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Finding the Fourth Proportional to 312,778.64, 469,096 and 186,454.55

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Solution

The fourth proportional to 312,778.64, 469,096 and 186,454.55 is: 279,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.64 : 469,096 = 186,454.55 : x
  2. Step 2: Convert to fraction form
    312,778.64/469,096 = 186,454.55/x
  3. Step 3: Cross multiply
    312,778.64x = 469,096 × 186,454.55
  4. Step 4: Simplify right side
    312,778.64x = 87,465,083,586.80
  5. Step 5: Solve for x
    x = 87,465,083,586.80/312,778.64
  6. Step 6: Final answer
    x = 279,638.93

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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.