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Finding the Fourth Proportional to 282,518, 389,874.84 and 155,195.72

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Solution

The fourth proportional to 282,518, 389,874.84 and 155,195.72 is: 214,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,518 : 389,874.84 = 155,195.72 : x
  2. Step 2: Convert to fraction form
    282,518/389,874.84 = 155,195.72/x
  3. Step 3: Cross multiply
    282,518x = 389,874.84 × 155,195.72
  4. Step 4: Simplify right side
    282,518x = 60,506,906,503.68
  5. Step 5: Solve for x
    x = 60,506,906,503.68/282,518
  6. Step 6: Final answer
    x = 214,170.09

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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.