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Finding the Fourth Proportional to 548,967.82, 822,880.84 and 212,239.76

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Solution

The fourth proportional to 548,967.82, 822,880.84 and 212,239.76 is: 318,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,967.82 : 822,880.84 = 212,239.76 : x
  2. Step 2: Convert to fraction form
    548,967.82/822,880.84 = 212,239.76/x
  3. Step 3: Cross multiply
    548,967.82x = 822,880.84 × 212,239.76
  4. Step 4: Simplify right side
    548,967.82x = 174,648,031,990.20
  5. Step 5: Solve for x
    x = 174,648,031,990.20/548,967.82
  6. Step 6: Final answer
    x = 318,138.92

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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.