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Finding the Fourth Proportional to 548,438.89, 822,574.87 and 211,430.36

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Solution

The fourth proportional to 548,438.89, 822,574.87 and 211,430.36 is: 317,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,438.89 : 822,574.87 = 211,430.36 : x
  2. Step 2: Convert to fraction form
    548,438.89/822,574.87 = 211,430.36/x
  3. Step 3: Cross multiply
    548,438.89x = 822,574.87 × 211,430.36
  4. Step 4: Simplify right side
    548,438.89x = 173,917,296,249.60
  5. Step 5: Solve for x
    x = 173,917,296,249.60/548,438.89
  6. Step 6: Final answer
    x = 317,113.36

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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.