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Finding the Fourth Proportional to 312,157.91, 468,238.08 and 75,500.21

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Solution

The fourth proportional to 312,157.91, 468,238.08 and 75,500.21 is: 113,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,157.91 : 468,238.08 = 75,500.21 : x
  2. Step 2: Convert to fraction form
    312,157.91/468,238.08 = 75,500.21/x
  3. Step 3: Cross multiply
    312,157.91x = 468,238.08 × 75,500.21
  4. Step 4: Simplify right side
    312,157.91x = 35,352,071,028.81
  5. Step 5: Solve for x
    x = 35,352,071,028.81/312,157.91
  6. Step 6: Final answer
    x = 113,250.60

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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.