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Finding the Fourth Proportional to 285,165, 393,527.70 and 165,933

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Solution

The fourth proportional to 285,165, 393,527.70 and 165,933 is: 228,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,165 : 393,527.70 = 165,933 : x
  2. Step 2: Convert to fraction form
    285,165/393,527.70 = 165,933/x
  3. Step 3: Cross multiply
    285,165x = 393,527.70 × 165,933
  4. Step 4: Simplify right side
    285,165x = 65,299,231,844.10
  5. Step 5: Solve for x
    x = 65,299,231,844.10/285,165
  6. Step 6: Final answer
    x = 228,987.54

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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.