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Finding the Fourth Proportional to 489,544.14, 734,322.69 and 190,041.78

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Solution

The fourth proportional to 489,544.14, 734,322.69 and 190,041.78 is: 285,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,544.14 : 734,322.69 = 190,041.78 : x
  2. Step 2: Convert to fraction form
    489,544.14/734,322.69 = 190,041.78/x
  3. Step 3: Cross multiply
    489,544.14x = 734,322.69 × 190,041.78
  4. Step 4: Simplify right side
    489,544.14x = 139,551,991,101.99
  5. Step 5: Solve for x
    x = 139,551,991,101.99/489,544.14
  6. Step 6: Final answer
    x = 285,065.19

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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.