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Finding the Fourth Proportional to 290,391.16, 400,729.44 and 163,072.12

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Solution

The fourth proportional to 290,391.16, 400,729.44 and 163,072.12 is: 225,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,391.16 : 400,729.44 = 163,072.12 : x
  2. Step 2: Convert to fraction form
    290,391.16/400,729.44 = 163,072.12/x
  3. Step 3: Cross multiply
    290,391.16x = 400,729.44 × 163,072.12
  4. Step 4: Simplify right side
    290,391.16x = 65,347,799,327.21
  5. Step 5: Solve for x
    x = 65,347,799,327.21/290,391.16
  6. Step 6: Final answer
    x = 225,033.71

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1.5x scale

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.