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Finding the Fourth Proportional to 259,069.75, 388,660.20 and 146,803.75

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Solution

The fourth proportional to 259,069.75, 388,660.20 and 146,803.75 is: 220,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,069.75 : 388,660.20 = 146,803.75 : x
  2. Step 2: Convert to fraction form
    259,069.75/388,660.20 = 146,803.75/x
  3. Step 3: Cross multiply
    259,069.75x = 388,660.20 × 146,803.75
  4. Step 4: Simplify right side
    259,069.75x = 57,056,774,835.75
  5. Step 5: Solve for x
    x = 57,056,774,835.75/259,069.75
  6. Step 6: Final answer
    x = 220,237.12

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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.