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Finding the Fourth Proportional to 312,676.50, 469,642.35 and 186,562.85

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Solution

The fourth proportional to 312,676.50, 469,642.35 and 186,562.85 is: 280,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,676.50 : 469,642.35 = 186,562.85 : x
  2. Step 2: Convert to fraction form
    312,676.50/469,642.35 = 186,562.85/x
  3. Step 3: Cross multiply
    312,676.50x = 469,642.35 × 186,562.85
  4. Step 4: Simplify right side
    312,676.50x = 87,617,813,648.10
  5. Step 5: Solve for x
    x = 87,617,813,648.10/312,676.50
  6. Step 6: Final answer
    x = 280,218.73

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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.