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Finding the Fourth Proportional to 209,952,179.80, 314,928,269.70 and 113,206,298.20

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Solution

The fourth proportional to 209,952,179.80, 314,928,269.70 and 113,206,298.20 is: 169,809,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,179.80 : 314,928,269.70 = 113,206,298.20 : x
  2. Step 2: Convert to fraction form
    209,952,179.80/314,928,269.70 = 113,206,298.20/x
  3. Step 3: Cross multiply
    209,952,179.80x = 314,928,269.70 × 113,206,298.20
  4. Step 4: Simplify right side
    209,952,179.80x = 35,651,863,611,268,224
  5. Step 5: Solve for x
    x = 35,651,863,611,268,224/209,952,179.80
  6. Step 6: Final answer
    x = 169,809,447.30

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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.