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Finding the Fourth Proportional to 209,811.20, 314,716.80 and 189,075.20

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Solution

The fourth proportional to 209,811.20, 314,716.80 and 189,075.20 is: 283,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,811.20 : 314,716.80 = 189,075.20 : x
  2. Step 2: Convert to fraction form
    209,811.20/314,716.80 = 189,075.20/x
  3. Step 3: Cross multiply
    209,811.20x = 314,716.80 × 189,075.20
  4. Step 4: Simplify right side
    209,811.20x = 59,505,141,903.36
  5. Step 5: Solve for x
    x = 59,505,141,903.36/209,811.20
  6. Step 6: Final answer
    x = 283,612.80

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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.