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Finding the Fourth Proportional to 290,963.28, 401,514.66 and 163,631.28

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Solution

The fourth proportional to 290,963.28, 401,514.66 and 163,631.28 is: 225,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,963.28 : 401,514.66 = 163,631.28 : x
  2. Step 2: Convert to fraction form
    290,963.28/401,514.66 = 163,631.28/x
  3. Step 3: Cross multiply
    290,963.28x = 401,514.66 × 163,631.28
  4. Step 4: Simplify right side
    290,963.28x = 65,700,357,754.56
  5. Step 5: Solve for x
    x = 65,700,357,754.56/290,963.28
  6. Step 6: Final answer
    x = 225,802.92

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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.