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Finding the Fourth Proportional to 315,222.35, 472,201.85 and 298,664.87

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Solution

The fourth proportional to 315,222.35, 472,201.85 and 298,664.87 is: 447,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,222.35 : 472,201.85 = 298,664.87 : x
  2. Step 2: Convert to fraction form
    315,222.35/472,201.85 = 298,664.87/x
  3. Step 3: Cross multiply
    315,222.35x = 472,201.85 × 298,664.87
  4. Step 4: Simplify right side
    315,222.35x = 141,030,102,529.66
  5. Step 5: Solve for x
    x = 141,030,102,529.66/315,222.35
  6. Step 6: Final answer
    x = 447,398.81

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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.