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Finding the Fourth Proportional to 408,339,868.80, 612,957,700.80 and 255,158,889.60

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Solution

The fourth proportional to 408,339,868.80, 612,957,700.80 and 255,158,889.60 is: 383,018,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,339,868.80 : 612,957,700.80 = 255,158,889.60 : x
  2. Step 2: Convert to fraction form
    408,339,868.80/612,957,700.80 = 255,158,889.60/x
  3. Step 3: Cross multiply
    408,339,868.80x = 612,957,700.80 × 255,158,889.60
  4. Step 4: Simplify right side
    408,339,868.80x = 156,401,606,307,897,024
  5. Step 5: Solve for x
    x = 156,401,606,307,897,024/408,339,868.80
  6. Step 6: Final answer
    x = 383,018,211.69

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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.