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Finding the Fourth Proportional to 305,225.64, 421,232.96 and 169,272.60

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Solution

The fourth proportional to 305,225.64, 421,232.96 and 169,272.60 is: 233,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,225.64 : 421,232.96 = 169,272.60 : x
  2. Step 2: Convert to fraction form
    305,225.64/421,232.96 = 169,272.60/x
  3. Step 3: Cross multiply
    305,225.64x = 421,232.96 × 169,272.60
  4. Step 4: Simplify right side
    305,225.64x = 71,303,197,498.53
  5. Step 5: Solve for x
    x = 71,303,197,498.53/305,225.64
  6. Step 6: Final answer
    x = 233,608.15

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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.