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Finding the Fourth Proportional to 228,281.60, 340,772.68 and 200,288

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Solution

The fourth proportional to 228,281.60, 340,772.68 and 200,288 is: 298,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,281.60 : 340,772.68 = 200,288 : x
  2. Step 2: Convert to fraction form
    228,281.60/340,772.68 = 200,288/x
  3. Step 3: Cross multiply
    228,281.60x = 340,772.68 × 200,288
  4. Step 4: Simplify right side
    228,281.60x = 68,252,678,531.84
  5. Step 5: Solve for x
    x = 68,252,678,531.84/228,281.60
  6. Step 6: Final answer
    x = 298,984.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.