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Finding the Fourth Proportional to 282,022, 389,190.36 and 154,697.89

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Solution

The fourth proportional to 282,022, 389,190.36 and 154,697.89 is: 213,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022 : 389,190.36 = 154,697.89 : x
  2. Step 2: Convert to fraction form
    282,022/389,190.36 = 154,697.89/x
  3. Step 3: Cross multiply
    282,022x = 389,190.36 × 154,697.89
  4. Step 4: Simplify right side
    282,022x = 60,206,927,500.34
  5. Step 5: Solve for x
    x = 60,206,927,500.34/282,022
  6. Step 6: Final answer
    x = 213,483.09

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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.