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Finding the Fourth Proportional to 489,279.98, 734,106.78 and 189,970.71

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Solution

The fourth proportional to 489,279.98, 734,106.78 and 189,970.71 is: 285,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,279.98 : 734,106.78 = 189,970.71 : x
  2. Step 2: Convert to fraction form
    489,279.98/734,106.78 = 189,970.71/x
  3. Step 3: Cross multiply
    489,279.98x = 734,106.78 × 189,970.71
  4. Step 4: Simplify right side
    489,279.98x = 139,458,786,212.41
  5. Step 5: Solve for x
    x = 139,458,786,212.41/489,279.98
  6. Step 6: Final answer
    x = 285,028.60

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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.