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Finding the Fourth Proportional to 299,730.78, 413,631.36 and 163,760.94

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Solution

The fourth proportional to 299,730.78, 413,631.36 and 163,760.94 is: 225,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730.78 : 413,631.36 = 163,760.94 : x
  2. Step 2: Convert to fraction form
    299,730.78/413,631.36 = 163,760.94/x
  3. Step 3: Cross multiply
    299,730.78x = 413,631.36 × 163,760.94
  4. Step 4: Simplify right side
    299,730.78x = 67,736,660,327.08
  5. Step 5: Solve for x
    x = 67,736,660,327.08/299,730.78
  6. Step 6: Final answer
    x = 225,991.67

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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.