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Finding the Fourth Proportional to 305,523.93, 421,528.54 and 178,109.31

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Solution

The fourth proportional to 305,523.93, 421,528.54 and 178,109.31 is: 245,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,523.93 : 421,528.54 = 178,109.31 : x
  2. Step 2: Convert to fraction form
    305,523.93/421,528.54 = 178,109.31/x
  3. Step 3: Cross multiply
    305,523.93x = 421,528.54 × 178,109.31
  4. Step 4: Simplify right side
    305,523.93x = 75,078,157,404.71
  5. Step 5: Solve for x
    x = 75,078,157,404.71/305,523.93
  6. Step 6: Final answer
    x = 245,735.77

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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.