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Finding the Fourth Proportional to 189,975.61, 284,588.90 and 154,477

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Solution

The fourth proportional to 189,975.61, 284,588.90 and 154,477 is: 231,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,975.61 : 284,588.90 = 154,477 : x
  2. Step 2: Convert to fraction form
    189,975.61/284,588.90 = 154,477/x
  3. Step 3: Cross multiply
    189,975.61x = 284,588.90 × 154,477
  4. Step 4: Simplify right side
    189,975.61x = 43,962,439,505.30
  5. Step 5: Solve for x
    x = 43,962,439,505.30/189,975.61
  6. Step 6: Final answer
    x = 231,410.97

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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.