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Finding the Fourth Proportional to 299,261.66, 412,991.02 and 163,303.05

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Solution

The fourth proportional to 299,261.66, 412,991.02 and 163,303.05 is: 225,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,261.66 : 412,991.02 = 163,303.05 : x
  2. Step 2: Convert to fraction form
    299,261.66/412,991.02 = 163,303.05/x
  3. Step 3: Cross multiply
    299,261.66x = 412,991.02 × 163,303.05
  4. Step 4: Simplify right side
    299,261.66x = 67,442,694,941.46
  5. Step 5: Solve for x
    x = 67,442,694,941.46/299,261.66
  6. Step 6: Final answer
    x = 225,363.64

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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.