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Finding the Fourth Proportional to 315,202.54, 434,977.44 and 179,236.51

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Solution

The fourth proportional to 315,202.54, 434,977.44 and 179,236.51 is: 247,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,202.54 : 434,977.44 = 179,236.51 : x
  2. Step 2: Convert to fraction form
    315,202.54/434,977.44 = 179,236.51/x
  3. Step 3: Cross multiply
    315,202.54x = 434,977.44 × 179,236.51
  4. Step 4: Simplify right side
    315,202.54x = 77,963,838,274.33
  5. Step 5: Solve for x
    x = 77,963,838,274.33/315,202.54
  6. Step 6: Final answer
    x = 247,345.21

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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.