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Finding the Fourth Proportional to 285,360.72, 428,069.38 and 105,493.27

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Solution

The fourth proportional to 285,360.72, 428,069.38 and 105,493.27 is: 158,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360.72 : 428,069.38 = 105,493.27 : x
  2. Step 2: Convert to fraction form
    285,360.72/428,069.38 = 105,493.27/x
  3. Step 3: Cross multiply
    285,360.72x = 428,069.38 × 105,493.27
  4. Step 4: Simplify right side
    285,360.72x = 45,158,438,683.07
  5. Step 5: Solve for x
    x = 45,158,438,683.07/285,360.72
  6. Step 6: Final answer
    x = 158,250.37

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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.