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Finding the Fourth Proportional to 305,321.45, 421,345.13 and 169,345.94

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Solution

The fourth proportional to 305,321.45, 421,345.13 and 169,345.94 is: 233,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,321.45 : 421,345.13 = 169,345.94 : x
  2. Step 2: Convert to fraction form
    305,321.45/421,345.13 = 169,345.94/x
  3. Step 3: Cross multiply
    305,321.45x = 421,345.13 × 169,345.94
  4. Step 4: Simplify right side
    305,321.45x = 71,353,084,150.82
  5. Step 5: Solve for x
    x = 71,353,084,150.82/305,321.45
  6. Step 6: Final answer
    x = 233,698.24

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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.