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Finding the Fourth Proportional to 3,200,307.91, 4,799,662.72 and 1,255,431.78

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Solution

The fourth proportional to 3,200,307.91, 4,799,662.72 and 1,255,431.78 is: 1,882,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,307.91 : 4,799,662.72 = 1,255,431.78 : x
  2. Step 2: Convert to fraction form
    3,200,307.91/4,799,662.72 = 1,255,431.78/x
  3. Step 3: Cross multiply
    3,200,307.91x = 4,799,662.72 × 1,255,431.78
  4. Step 4: Simplify right side
    3,200,307.91x = 6,025,649,108,830.66
  5. Step 5: Solve for x
    x = 6,025,649,108,830.66/3,200,307.91
  6. Step 6: Final answer
    x = 1,882,834.18

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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.