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Finding the Fourth Proportional to 305,804.51, 421,998.56 and 169,847.13

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Solution

The fourth proportional to 305,804.51, 421,998.56 and 169,847.13 is: 234,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,804.51 : 421,998.56 = 169,847.13 : x
  2. Step 2: Convert to fraction form
    305,804.51/421,998.56 = 169,847.13/x
  3. Step 3: Cross multiply
    305,804.51x = 421,998.56 × 169,847.13
  4. Step 4: Simplify right side
    305,804.51x = 71,675,243,276.58
  5. Step 5: Solve for x
    x = 71,675,243,276.58/305,804.51
  6. Step 6: Final answer
    x = 234,382.55

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1.5x scale

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.