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Finding the Fourth Proportional to 325,538.95, 489,056.80 and 229,696.75

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Solution

The fourth proportional to 325,538.95, 489,056.80 and 229,696.75 is: 345,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,538.95 : 489,056.80 = 229,696.75 : x
  2. Step 2: Convert to fraction form
    325,538.95/489,056.80 = 229,696.75/x
  3. Step 3: Cross multiply
    325,538.95x = 489,056.80 × 229,696.75
  4. Step 4: Simplify right side
    325,538.95x = 112,334,757,525.40
  5. Step 5: Solve for x
    x = 112,334,757,525.40/325,538.95
  6. Step 6: Final answer
    x = 345,073.17

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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.