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Finding the Fourth Proportional to 217,216,245.80, 325,824,368.70 and 120,470,364.20

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Solution

The fourth proportional to 217,216,245.80, 325,824,368.70 and 120,470,364.20 is: 180,705,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,216,245.80 : 325,824,368.70 = 120,470,364.20 : x
  2. Step 2: Convert to fraction form
    217,216,245.80/325,824,368.70 = 120,470,364.20/x
  3. Step 3: Cross multiply
    217,216,245.80x = 325,824,368.70 × 120,470,364.20
  4. Step 4: Simplify right side
    217,216,245.80x = 39,252,180,362,524,080
  5. Step 5: Solve for x
    x = 39,252,180,362,524,080/217,216,245.80
  6. Step 6: Final answer
    x = 180,705,546.30

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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.