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Finding the Fourth Proportional to 305,213.25, 421,173.74 and 169,242.20

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Solution

The fourth proportional to 305,213.25, 421,173.74 and 169,242.20 is: 233,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.25 : 421,173.74 = 169,242.20 : x
  2. Step 2: Convert to fraction form
    305,213.25/421,173.74 = 169,242.20/x
  3. Step 3: Cross multiply
    305,213.25x = 421,173.74 × 169,242.20
  4. Step 4: Simplify right side
    305,213.25x = 71,280,370,339.83
  5. Step 5: Solve for x
    x = 71,280,370,339.83/305,213.25
  6. Step 6: Final answer
    x = 233,542.84

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1.5x scale

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.