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Finding the Fourth Proportional to 285,401.20, 428,121.80 and 114,622.93

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Solution

The fourth proportional to 285,401.20, 428,121.80 and 114,622.93 is: 171,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,401.20 : 428,121.80 = 114,622.93 : x
  2. Step 2: Convert to fraction form
    285,401.20/428,121.80 = 114,622.93/x
  3. Step 3: Cross multiply
    285,401.20x = 428,121.80 × 114,622.93
  4. Step 4: Simplify right side
    285,401.20x = 49,072,574,004.61
  5. Step 5: Solve for x
    x = 49,072,574,004.61/285,401.20
  6. Step 6: Final answer
    x = 171,942.42

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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.