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Finding the Fourth Proportional to 320,272, 441,975.45 and 175,078.42

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Solution

The fourth proportional to 320,272, 441,975.45 and 175,078.42 is: 241,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,272 : 441,975.45 = 175,078.42 : x
  2. Step 2: Convert to fraction form
    320,272/441,975.45 = 175,078.42/x
  3. Step 3: Cross multiply
    320,272x = 441,975.45 × 175,078.42
  4. Step 4: Simplify right side
    320,272x = 77,380,363,464.79
  5. Step 5: Solve for x
    x = 77,380,363,464.79/320,272
  6. Step 6: Final answer
    x = 241,608.27

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1.5x scale

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.