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Finding the Fourth Proportional to 551,047.91, 825,783.22 and 313,900.55

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Solution

The fourth proportional to 551,047.91, 825,783.22 and 313,900.55 is: 470,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,047.91 : 825,783.22 = 313,900.55 : x
  2. Step 2: Convert to fraction form
    551,047.91/825,783.22 = 313,900.55/x
  3. Step 3: Cross multiply
    551,047.91x = 825,783.22 × 313,900.55
  4. Step 4: Simplify right side
    551,047.91x = 259,213,806,938.77
  5. Step 5: Solve for x
    x = 259,213,806,938.77/551,047.91
  6. Step 6: Final answer
    x = 470,401.58

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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.