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Finding the Fourth Proportional to 653,120,189.80, 978,336,591.90 and 330,186,020.20

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Solution

The fourth proportional to 653,120,189.80, 978,336,591.90 and 330,186,020.20 is: 494,599,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,120,189.80 : 978,336,591.90 = 330,186,020.20 : x
  2. Step 2: Convert to fraction form
    653,120,189.80/978,336,591.90 = 330,186,020.20/x
  3. Step 3: Cross multiply
    653,120,189.80x = 978,336,591.90 × 330,186,020.20
  4. Step 4: Simplify right side
    653,120,189.80x = 323,033,065,695,492,544
  5. Step 5: Solve for x
    x = 323,033,065,695,492,544/653,120,189.80
  6. Step 6: Final answer
    x = 494,599,724.12

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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.