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Finding the Fourth Proportional to 253,794.65, 380,878.04 and 204,470.28

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Solution

The fourth proportional to 253,794.65, 380,878.04 and 204,470.28 is: 306,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,794.65 : 380,878.04 = 204,470.28 : x
  2. Step 2: Convert to fraction form
    253,794.65/380,878.04 = 204,470.28/x
  3. Step 3: Cross multiply
    253,794.65x = 380,878.04 × 204,470.28
  4. Step 4: Simplify right side
    253,794.65x = 77,878,239,484.65
  5. Step 5: Solve for x
    x = 77,878,239,484.65/253,794.65
  6. Step 6: Final answer
    x = 306,855.32

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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.