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Finding the Fourth Proportional to 285,998.46, 428,998.22 and 117,401.28

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Solution

The fourth proportional to 285,998.46, 428,998.22 and 117,401.28 is: 176,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,998.46 : 428,998.22 = 117,401.28 : x
  2. Step 2: Convert to fraction form
    285,998.46/428,998.22 = 117,401.28/x
  3. Step 3: Cross multiply
    285,998.46x = 428,998.22 × 117,401.28
  4. Step 4: Simplify right side
    285,998.46x = 50,364,939,558.72
  5. Step 5: Solve for x
    x = 50,364,939,558.72/285,998.46
  6. Step 6: Final answer
    x = 176,102.14

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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.