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Finding the Fourth Proportional to 248,482, 372,781.32 and 82,270

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Solution

The fourth proportional to 248,482, 372,781.32 and 82,270 is: 123,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,482 : 372,781.32 = 82,270 : x
  2. Step 2: Convert to fraction form
    248,482/372,781.32 = 82,270/x
  3. Step 3: Cross multiply
    248,482x = 372,781.32 × 82,270
  4. Step 4: Simplify right side
    248,482x = 30,668,719,196.40
  5. Step 5: Solve for x
    x = 30,668,719,196.40/248,482
  6. Step 6: Final answer
    x = 123,424.31

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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.