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Finding the Fourth Proportional to 248,484, 372,784.32 and 82,272

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Solution

The fourth proportional to 248,484, 372,784.32 and 82,272 is: 123,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,484 : 372,784.32 = 82,272 : x
  2. Step 2: Convert to fraction form
    248,484/372,784.32 = 82,272/x
  3. Step 3: Cross multiply
    248,484x = 372,784.32 × 82,272
  4. Step 4: Simplify right side
    248,484x = 30,669,711,575.04
  5. Step 5: Solve for x
    x = 30,669,711,575.04/248,484
  6. Step 6: Final answer
    x = 123,427.31

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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.