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Finding the Fourth Proportional to 312,311.54, 468,465.74 and 75,654.24

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Solution

The fourth proportional to 312,311.54, 468,465.74 and 75,654.24 is: 113,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,311.54 : 468,465.74 = 75,654.24 : x
  2. Step 2: Convert to fraction form
    312,311.54/468,465.74 = 75,654.24/x
  3. Step 3: Cross multiply
    312,311.54x = 468,465.74 × 75,654.24
  4. Step 4: Simplify right side
    312,311.54x = 35,441,419,525.74
  5. Step 5: Solve for x
    x = 35,441,419,525.74/312,311.54
  6. Step 6: Final answer
    x = 113,480.98

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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.