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Finding the Fourth Proportional to 312,410.40, 468,676.80 and 101,991.84

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Solution

The fourth proportional to 312,410.40, 468,676.80 and 101,991.84 is: 153,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,410.40 : 468,676.80 = 101,991.84 : x
  2. Step 2: Convert to fraction form
    312,410.40/468,676.80 = 101,991.84/x
  3. Step 3: Cross multiply
    312,410.40x = 468,676.80 × 101,991.84
  4. Step 4: Simplify right side
    312,410.40x = 47,801,209,197.31
  5. Step 5: Solve for x
    x = 47,801,209,197.31/312,410.40
  6. Step 6: Final answer
    x = 153,007.74

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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.