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Finding the Fourth Proportional to 388,828.96, 536,568.72 and 219,097.12

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Solution

The fourth proportional to 388,828.96, 536,568.72 and 219,097.12 is: 302,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,828.96 : 536,568.72 = 219,097.12 : x
  2. Step 2: Convert to fraction form
    388,828.96/536,568.72 = 219,097.12/x
  3. Step 3: Cross multiply
    388,828.96x = 536,568.72 × 219,097.12
  4. Step 4: Simplify right side
    388,828.96x = 117,560,661,234.09
  5. Step 5: Solve for x
    x = 117,560,661,234.09/388,828.96
  6. Step 6: Final answer
    x = 302,345.44

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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.