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Finding the Fourth Proportional to 280,427.01, 419,969.93 and 161,738.52

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Solution

The fourth proportional to 280,427.01, 419,969.93 and 161,738.52 is: 242,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,427.01 : 419,969.93 = 161,738.52 : x
  2. Step 2: Convert to fraction form
    280,427.01/419,969.93 = 161,738.52/x
  3. Step 3: Cross multiply
    280,427.01x = 419,969.93 × 161,738.52
  4. Step 4: Simplify right side
    280,427.01x = 67,925,314,114.01
  5. Step 5: Solve for x
    x = 67,925,314,114.01/280,427.01
  6. Step 6: Final answer
    x = 242,221.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.