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Finding the Fourth Proportional to 290,323.04, 400,635.52 and 163,004

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Solution

The fourth proportional to 290,323.04, 400,635.52 and 163,004 is: 224,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,323.04 : 400,635.52 = 163,004 : x
  2. Step 2: Convert to fraction form
    290,323.04/400,635.52 = 163,004/x
  3. Step 3: Cross multiply
    290,323.04x = 400,635.52 × 163,004
  4. Step 4: Simplify right side
    290,323.04x = 65,305,192,302.08
  5. Step 5: Solve for x
    x = 65,305,192,302.08/290,323.04
  6. Step 6: Final answer
    x = 224,939.75

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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.