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Finding the Fourth Proportional to 270,397.92, 405,636 and 83,424

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Solution

The fourth proportional to 270,397.92, 405,636 and 83,424 is: 125,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,397.92 : 405,636 = 83,424 : x
  2. Step 2: Convert to fraction form
    270,397.92/405,636 = 83,424/x
  3. Step 3: Cross multiply
    270,397.92x = 405,636 × 83,424
  4. Step 4: Simplify right side
    270,397.92x = 33,839,777,664
  5. Step 5: Solve for x
    x = 33,839,777,664/270,397.92
  6. Step 6: Final answer
    x = 125,148.07

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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.