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Finding the Fourth Proportional to 282,002, 389,197.32 and 162,770

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Solution

The fourth proportional to 282,002, 389,197.32 and 162,770 is: 224,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,002 : 389,197.32 = 162,770 : x
  2. Step 2: Convert to fraction form
    282,002/389,197.32 = 162,770/x
  3. Step 3: Cross multiply
    282,002x = 389,197.32 × 162,770
  4. Step 4: Simplify right side
    282,002x = 63,349,647,776.40
  5. Step 5: Solve for x
    x = 63,349,647,776.40/282,002
  6. Step 6: Final answer
    x = 224,642.55

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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.