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Finding the Fourth Proportional to 299,037.76, 412,668.84 and 163,071.28

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Solution

The fourth proportional to 299,037.76, 412,668.84 and 163,071.28 is: 225,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,037.76 : 412,668.84 = 163,071.28 : x
  2. Step 2: Convert to fraction form
    299,037.76/412,668.84 = 163,071.28/x
  3. Step 3: Cross multiply
    299,037.76x = 412,668.84 × 163,071.28
  4. Step 4: Simplify right side
    299,037.76x = 67,294,435,954.92
  5. Step 5: Solve for x
    x = 67,294,435,954.92/299,037.76
  6. Step 6: Final answer
    x = 225,036.58

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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.