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Finding the Fourth Proportional to 280,919,401.20, 421,379,101.80 and 229,859,074.80

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Solution

The fourth proportional to 280,919,401.20, 421,379,101.80 and 229,859,074.80 is: 344,788,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,919,401.20 : 421,379,101.80 = 229,859,074.80 : x
  2. Step 2: Convert to fraction form
    280,919,401.20/421,379,101.80 = 229,859,074.80/x
  3. Step 3: Cross multiply
    280,919,401.20x = 421,379,101.80 × 229,859,074.80
  4. Step 4: Simplify right side
    280,919,401.20x = 96,857,810,479,803,024
  5. Step 5: Solve for x
    x = 96,857,810,479,803,024/280,919,401.20
  6. Step 6: Final answer
    x = 344,788,612.20

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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.