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Finding the Fourth Proportional to 305,329.54, 421,054.74 and 281,193.16

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Solution

The fourth proportional to 305,329.54, 421,054.74 and 281,193.16 is: 387,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,329.54 : 421,054.74 = 281,193.16 : x
  2. Step 2: Convert to fraction form
    305,329.54/421,054.74 = 281,193.16/x
  3. Step 3: Cross multiply
    305,329.54x = 421,054.74 × 281,193.16
  4. Step 4: Simplify right side
    305,329.54x = 118,397,712,873.58
  5. Step 5: Solve for x
    x = 118,397,712,873.58/305,329.54
  6. Step 6: Final answer
    x = 387,770.25

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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.