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Finding the Fourth Proportional to 285,296.88, 428,025.27 and 114,638.43

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Solution

The fourth proportional to 285,296.88, 428,025.27 and 114,638.43 is: 171,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,296.88 : 428,025.27 = 114,638.43 : x
  2. Step 2: Convert to fraction form
    285,296.88/428,025.27 = 114,638.43/x
  3. Step 3: Cross multiply
    285,296.88x = 428,025.27 × 114,638.43
  4. Step 4: Simplify right side
    285,296.88x = 49,068,144,953.13
  5. Step 5: Solve for x
    x = 49,068,144,953.13/285,296.88
  6. Step 6: Final answer
    x = 171,989.77

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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.