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Finding the Fourth Proportional to 305,409, 421,510.50 and 186,246.12

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Solution

The fourth proportional to 305,409, 421,510.50 and 186,246.12 is: 257,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,409 : 421,510.50 = 186,246.12 : x
  2. Step 2: Convert to fraction form
    305,409/421,510.50 = 186,246.12/x
  3. Step 3: Cross multiply
    305,409x = 421,510.50 × 186,246.12
  4. Step 4: Simplify right side
    305,409x = 78,504,695,164.26
  5. Step 5: Solve for x
    x = 78,504,695,164.26/305,409
  6. Step 6: Final answer
    x = 257,047.75

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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.