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Finding the Fourth Proportional to 311,865.96, 467,401.22 and 151,980.06

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Solution

The fourth proportional to 311,865.96, 467,401.22 and 151,980.06 is: 227,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,865.96 : 467,401.22 = 151,980.06 : x
  2. Step 2: Convert to fraction form
    311,865.96/467,401.22 = 151,980.06/x
  3. Step 3: Cross multiply
    311,865.96x = 467,401.22 × 151,980.06
  4. Step 4: Simplify right side
    311,865.96x = 71,035,665,459.67
  5. Step 5: Solve for x
    x = 71,035,665,459.67/311,865.96
  6. Step 6: Final answer
    x = 227,776.27

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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.