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Finding the Fourth Proportional to 305,351.29, 421,208.47 and 190,430.46

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Solution

The fourth proportional to 305,351.29, 421,208.47 and 190,430.46 is: 262,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,351.29 : 421,208.47 = 190,430.46 : x
  2. Step 2: Convert to fraction form
    305,351.29/421,208.47 = 190,430.46/x
  3. Step 3: Cross multiply
    305,351.29x = 421,208.47 × 190,430.46
  4. Step 4: Simplify right side
    305,351.29x = 80,210,922,698.00
  5. Step 5: Solve for x
    x = 80,210,922,698.00/305,351.29
  6. Step 6: Final answer
    x = 262,684.08

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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.