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Finding the Fourth Proportional to 312,446.40, 468,669.60 and 87,797.76

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Solution

The fourth proportional to 312,446.40, 468,669.60 and 87,797.76 is: 131,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,446.40 : 468,669.60 = 87,797.76 : x
  2. Step 2: Convert to fraction form
    312,446.40/468,669.60 = 87,797.76/x
  3. Step 3: Cross multiply
    312,446.40x = 468,669.60 × 87,797.76
  4. Step 4: Simplify right side
    312,446.40x = 41,148,141,060.10
  5. Step 5: Solve for x
    x = 41,148,141,060.10/312,446.40
  6. Step 6: Final answer
    x = 131,696.64

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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.