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Finding the Fourth Proportional to 312,558.76, 468,212.82 and 143,847.91

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Solution

The fourth proportional to 312,558.76, 468,212.82 and 143,847.91 is: 215,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,558.76 : 468,212.82 = 143,847.91 : x
  2. Step 2: Convert to fraction form
    312,558.76/468,212.82 = 143,847.91/x
  3. Step 3: Cross multiply
    312,558.76x = 468,212.82 × 143,847.91
  4. Step 4: Simplify right side
    312,558.76x = 67,351,435,592.21
  5. Step 5: Solve for x
    x = 67,351,435,592.21/312,558.76
  6. Step 6: Final answer
    x = 215,484.08

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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.