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Finding the Fourth Proportional to 311,850.78, 430,464.66 and 184,526.07

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Solution

The fourth proportional to 311,850.78, 430,464.66 and 184,526.07 is: 254,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850.78 : 430,464.66 = 184,526.07 : x
  2. Step 2: Convert to fraction form
    311,850.78/430,464.66 = 184,526.07/x
  3. Step 3: Cross multiply
    311,850.78x = 430,464.66 × 184,526.07
  4. Step 4: Simplify right side
    311,850.78x = 79,431,951,983.69
  5. Step 5: Solve for x
    x = 79,431,951,983.69/311,850.78
  6. Step 6: Final answer
    x = 254,711.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.