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Finding the Fourth Proportional to 548,466.40, 822,310.80 and 211,376.80

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Solution

The fourth proportional to 548,466.40, 822,310.80 and 211,376.80 is: 316,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,466.40 : 822,310.80 = 211,376.80 : x
  2. Step 2: Convert to fraction form
    548,466.40/822,310.80 = 211,376.80/x
  3. Step 3: Cross multiply
    548,466.40x = 822,310.80 × 211,376.80
  4. Step 4: Simplify right side
    548,466.40x = 173,817,425,509.44
  5. Step 5: Solve for x
    x = 173,817,425,509.44/548,466.40
  6. Step 6: Final answer
    x = 316,915.36

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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.