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Finding the Fourth Proportional to 285,210, 393,693.48 and 165,978

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Solution

The fourth proportional to 285,210, 393,693.48 and 165,978 is: 229,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,210 : 393,693.48 = 165,978 : x
  2. Step 2: Convert to fraction form
    285,210/393,693.48 = 165,978/x
  3. Step 3: Cross multiply
    285,210x = 393,693.48 × 165,978
  4. Step 4: Simplify right side
    285,210x = 65,344,456,423.44
  5. Step 5: Solve for x
    x = 65,344,456,423.44/285,210
  6. Step 6: Final answer
    x = 229,109.98

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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.