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Finding the Fourth Proportional to 467,328, 644,912.64 and 255,360

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Solution

The fourth proportional to 467,328, 644,912.64 and 255,360 is: 352,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,328 : 644,912.64 = 255,360 : x
  2. Step 2: Convert to fraction form
    467,328/644,912.64 = 255,360/x
  3. Step 3: Cross multiply
    467,328x = 644,912.64 × 255,360
  4. Step 4: Simplify right side
    467,328x = 164,684,891,750.40
  5. Step 5: Solve for x
    x = 164,684,891,750.40/467,328
  6. Step 6: Final answer
    x = 352,396.80

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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.