Home / 470,891,932.20-706,589,840.70-198,290,255.40

Finding the Fourth Proportional to 470,891,932.20, 706,589,840.70 and 198,290,255.40

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Solution

The fourth proportional to 470,891,932.20, 706,589,840.70 and 198,290,255.40 is: 297,541,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891,932.20 : 706,589,840.70 = 198,290,255.40 : x
  2. Step 2: Convert to fraction form
    470,891,932.20/706,589,840.70 = 198,290,255.40/x
  3. Step 3: Cross multiply
    470,891,932.20x = 706,589,840.70 × 198,290,255.40
  4. Step 4: Simplify right side
    470,891,932.20x = 140,109,879,975,448,336
  5. Step 5: Solve for x
    x = 140,109,879,975,448,336/470,891,932.20
  6. Step 6: Final answer
    x = 297,541,474.79

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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.