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Finding the Fourth Proportional to 305,258.31, 421,228.64 and 169,291.84

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Solution

The fourth proportional to 305,258.31, 421,228.64 and 169,291.84 is: 233,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,258.31 : 421,228.64 = 169,291.84 : x
  2. Step 2: Convert to fraction form
    305,258.31/421,228.64 = 169,291.84/x
  3. Step 3: Cross multiply
    305,258.31x = 421,228.64 × 169,291.84
  4. Step 4: Simplify right side
    305,258.31x = 71,310,570,679.84
  5. Step 5: Solve for x
    x = 71,310,570,679.84/305,258.31
  6. Step 6: Final answer
    x = 233,607.31

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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.