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Finding the Fourth Proportional to 219,034.80, 328,163.40 and 135,831.60

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Solution

The fourth proportional to 219,034.80, 328,163.40 and 135,831.60 is: 203,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,034.80 : 328,163.40 = 135,831.60 : x
  2. Step 2: Convert to fraction form
    219,034.80/328,163.40 = 135,831.60/x
  3. Step 3: Cross multiply
    219,034.80x = 328,163.40 × 135,831.60
  4. Step 4: Simplify right side
    219,034.80x = 44,574,959,683.44
  5. Step 5: Solve for x
    x = 44,574,959,683.44/219,034.80
  6. Step 6: Final answer
    x = 203,506.29

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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.