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Finding the Fourth Proportional to 284,145.67, 426,343.30 and 149,178.38

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Solution

The fourth proportional to 284,145.67, 426,343.30 and 149,178.38 is: 223,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,145.67 : 426,343.30 = 149,178.38 : x
  2. Step 2: Convert to fraction form
    284,145.67/426,343.30 = 149,178.38/x
  3. Step 3: Cross multiply
    284,145.67x = 426,343.30 × 149,178.38
  4. Step 4: Simplify right side
    284,145.67x = 63,601,200,659.65
  5. Step 5: Solve for x
    x = 63,601,200,659.65/284,145.67
  6. Step 6: Final answer
    x = 223,833.08

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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.