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Finding the Fourth Proportional to 351,072.72, 484,478.16 and 189,927.12

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Solution

The fourth proportional to 351,072.72, 484,478.16 and 189,927.12 is: 262,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,072.72 : 484,478.16 = 189,927.12 : x
  2. Step 2: Convert to fraction form
    351,072.72/484,478.16 = 189,927.12/x
  3. Step 3: Cross multiply
    351,072.72x = 484,478.16 × 189,927.12
  4. Step 4: Simplify right side
    351,072.72x = 92,015,541,631.70
  5. Step 5: Solve for x
    x = 92,015,541,631.70/351,072.72
  6. Step 6: Final answer
    x = 262,098.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.