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Finding the Fourth Proportional to 305,807.94, 422,024.79 and 169,843.51

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Solution

The fourth proportional to 305,807.94, 422,024.79 and 169,843.51 is: 234,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,807.94 : 422,024.79 = 169,843.51 : x
  2. Step 2: Convert to fraction form
    305,807.94/422,024.79 = 169,843.51/x
  3. Step 3: Cross multiply
    305,807.94x = 422,024.79 × 169,843.51
  4. Step 4: Simplify right side
    305,807.94x = 71,678,171,640.61
  5. Step 5: Solve for x
    x = 71,678,171,640.61/305,807.94
  6. Step 6: Final answer
    x = 234,389.50

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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.