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Finding the Fourth Proportional to 313,920,061.20, 470,964,072.60 and 223,220,797.20

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Solution

The fourth proportional to 313,920,061.20, 470,964,072.60 and 223,220,797.20 is: 334,890,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,920,061.20 : 470,964,072.60 = 223,220,797.20 : x
  2. Step 2: Convert to fraction form
    313,920,061.20/470,964,072.60 = 223,220,797.20/x
  3. Step 3: Cross multiply
    313,920,061.20x = 470,964,072.60 × 223,220,797.20
  4. Step 4: Simplify right side
    313,920,061.20x = 105,128,975,738,330,672
  5. Step 5: Solve for x
    x = 105,128,975,738,330,672/313,920,061.20
  6. Step 6: Final answer
    x = 334,890,912.47

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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.