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Finding the Fourth Proportional to 255,159.48, 384,467.97 and 211,758.60

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Solution

The fourth proportional to 255,159.48, 384,467.97 and 211,758.60 is: 319,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,159.48 : 384,467.97 = 211,758.60 : x
  2. Step 2: Convert to fraction form
    255,159.48/384,467.97 = 211,758.60/x
  3. Step 3: Cross multiply
    255,159.48x = 384,467.97 × 211,758.60
  4. Step 4: Simplify right side
    255,159.48x = 81,414,399,072.04
  5. Step 5: Solve for x
    x = 81,414,399,072.04/255,159.48
  6. Step 6: Final answer
    x = 319,072.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.