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Finding the Fourth Proportional to 285,504.09, 428,223.02 and 75,158.43

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Solution

The fourth proportional to 285,504.09, 428,223.02 and 75,158.43 is: 112,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,504.09 : 428,223.02 = 75,158.43 : x
  2. Step 2: Convert to fraction form
    285,504.09/428,223.02 = 75,158.43/x
  3. Step 3: Cross multiply
    285,504.09x = 428,223.02 × 75,158.43
  4. Step 4: Simplify right side
    285,504.09x = 32,184,569,497.27
  5. Step 5: Solve for x
    x = 32,184,569,497.27/285,504.09
  6. Step 6: Final answer
    x = 112,728.93

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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.