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Finding the Fourth Proportional to 290,794.16, 401,294.04 and 163,470.80

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Solution

The fourth proportional to 290,794.16, 401,294.04 and 163,470.80 is: 225,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,794.16 : 401,294.04 = 163,470.80 : x
  2. Step 2: Convert to fraction form
    290,794.16/401,294.04 = 163,470.80/x
  3. Step 3: Cross multiply
    290,794.16x = 401,294.04 × 163,470.80
  4. Step 4: Simplify right side
    290,794.16x = 65,599,857,754.03
  5. Step 5: Solve for x
    x = 65,599,857,754.03/290,794.16
  6. Step 6: Final answer
    x = 225,588.64

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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.