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Finding the Fourth Proportional to 312,458.88, 468,688.32 and 75,797.76

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Solution

The fourth proportional to 312,458.88, 468,688.32 and 75,797.76 is: 113,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,458.88 : 468,688.32 = 75,797.76 : x
  2. Step 2: Convert to fraction form
    312,458.88/468,688.32 = 75,797.76/x
  3. Step 3: Cross multiply
    312,458.88x = 468,688.32 × 75,797.76
  4. Step 4: Simplify right side
    312,458.88x = 35,525,524,794.16
  5. Step 5: Solve for x
    x = 35,525,524,794.16/312,458.88
  6. Step 6: Final answer
    x = 113,696.64

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1.5x scale

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.