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Finding the Fourth Proportional to 285,702, 394,273.20 and 156,652.23

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Solution

The fourth proportional to 285,702, 394,273.20 and 156,652.23 is: 216,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,702 : 394,273.20 = 156,652.23 : x
  2. Step 2: Convert to fraction form
    285,702/394,273.20 = 156,652.23/x
  3. Step 3: Cross multiply
    285,702x = 394,273.20 × 156,652.23
  4. Step 4: Simplify right side
    285,702x = 61,763,776,009.24
  5. Step 5: Solve for x
    x = 61,763,776,009.24/285,702
  6. Step 6: Final answer
    x = 216,182.51

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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.