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Finding the Fourth Proportional to 299,071.21, 412,701.81 and 169,991.74

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Solution

The fourth proportional to 299,071.21, 412,701.81 and 169,991.74 is: 234,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,071.21 : 412,701.81 = 169,991.74 : x
  2. Step 2: Convert to fraction form
    299,071.21/412,701.81 = 169,991.74/x
  3. Step 3: Cross multiply
    299,071.21x = 412,701.81 × 169,991.74
  4. Step 4: Simplify right side
    299,071.21x = 70,155,898,783.05
  5. Step 5: Solve for x
    x = 70,155,898,783.05/299,071.21
  6. Step 6: Final answer
    x = 234,579.25

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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.