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Finding the Fourth Proportional to 285,071.22, 427,754.38 and 206,831.24

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Solution

The fourth proportional to 285,071.22, 427,754.38 and 206,831.24 is: 310,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,071.22 : 427,754.38 = 206,831.24 : x
  2. Step 2: Convert to fraction form
    285,071.22/427,754.38 = 206,831.24/x
  3. Step 3: Cross multiply
    285,071.22x = 427,754.38 × 206,831.24
  4. Step 4: Simplify right side
    285,071.22x = 88,472,968,830.83
  5. Step 5: Solve for x
    x = 88,472,968,830.83/285,071.22
  6. Step 6: Final answer
    x = 310,353.91

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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.