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Finding the Fourth Proportional to 312,367.59, 468,219.69 and 162,457.85

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Solution

The fourth proportional to 312,367.59, 468,219.69 and 162,457.85 is: 243,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,367.59 : 468,219.69 = 162,457.85 : x
  2. Step 2: Convert to fraction form
    312,367.59/468,219.69 = 162,457.85/x
  3. Step 3: Cross multiply
    312,367.59x = 468,219.69 × 162,457.85
  4. Step 4: Simplify right side
    312,367.59x = 76,065,965,335.62
  5. Step 5: Solve for x
    x = 76,065,965,335.62/312,367.59
  6. Step 6: Final answer
    x = 243,514.27

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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.