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Finding the Fourth Proportional to 315,351.36, 472,616.32 and 128,144

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Solution

The fourth proportional to 315,351.36, 472,616.32 and 128,144 is: 192,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,351.36 : 472,616.32 = 128,144 : x
  2. Step 2: Convert to fraction form
    315,351.36/472,616.32 = 128,144/x
  3. Step 3: Cross multiply
    315,351.36x = 472,616.32 × 128,144
  4. Step 4: Simplify right side
    315,351.36x = 60,562,945,710.08
  5. Step 5: Solve for x
    x = 60,562,945,710.08/315,351.36
  6. Step 6: Final answer
    x = 192,049.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.