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Finding the Fourth Proportional to 290,628.16, 401,102.70 and 163,301

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Solution

The fourth proportional to 290,628.16, 401,102.70 and 163,301 is: 225,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,628.16 : 401,102.70 = 163,301 : x
  2. Step 2: Convert to fraction form
    290,628.16/401,102.70 = 163,301/x
  3. Step 3: Cross multiply
    290,628.16x = 401,102.70 × 163,301
  4. Step 4: Simplify right side
    290,628.16x = 65,500,472,012.70
  5. Step 5: Solve for x
    x = 65,500,472,012.70/290,628.16
  6. Step 6: Final answer
    x = 225,375.52

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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.