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Finding the Fourth Proportional to 644,772.54, 889,794.16 and 354,415.80

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Solution

The fourth proportional to 644,772.54, 889,794.16 and 354,415.80 is: 489,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,772.54 : 889,794.16 = 354,415.80 : x
  2. Step 2: Convert to fraction form
    644,772.54/889,794.16 = 354,415.80/x
  3. Step 3: Cross multiply
    644,772.54x = 889,794.16 × 354,415.80
  4. Step 4: Simplify right side
    644,772.54x = 315,357,109,051.73
  5. Step 5: Solve for x
    x = 315,357,109,051.73/644,772.54
  6. Step 6: Final answer
    x = 489,098.24

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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.