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Finding the Fourth Proportional to 315,300.96, 434,376 and 219,634.56

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Solution

The fourth proportional to 315,300.96, 434,376 and 219,634.56 is: 302,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,300.96 : 434,376 = 219,634.56 : x
  2. Step 2: Convert to fraction form
    315,300.96/434,376 = 219,634.56/x
  3. Step 3: Cross multiply
    315,300.96x = 434,376 × 219,634.56
  4. Step 4: Simplify right side
    315,300.96x = 95,403,981,634.56
  5. Step 5: Solve for x
    x = 95,403,981,634.56/315,300.96
  6. Step 6: Final answer
    x = 302,580.69

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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.