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Finding the Fourth Proportional to 288,936, 433,342.42 and 111,384

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Solution

The fourth proportional to 288,936, 433,342.42 and 111,384 is: 167,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,936 : 433,342.42 = 111,384 : x
  2. Step 2: Convert to fraction form
    288,936/433,342.42 = 111,384/x
  3. Step 3: Cross multiply
    288,936x = 433,342.42 × 111,384
  4. Step 4: Simplify right side
    288,936x = 48,267,412,109.28
  5. Step 5: Solve for x
    x = 48,267,412,109.28/288,936
  6. Step 6: Final answer
    x = 167,052.26

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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.