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Finding the Fourth Proportional to 5,393,978.20, 7,443,915.54 and 3,102,140.44

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Solution

The fourth proportional to 5,393,978.20, 7,443,915.54 and 3,102,140.44 is: 4,281,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393,978.20 : 7,443,915.54 = 3,102,140.44 : x
  2. Step 2: Convert to fraction form
    5,393,978.20/7,443,915.54 = 3,102,140.44/x
  3. Step 3: Cross multiply
    5,393,978.20x = 7,443,915.54 × 3,102,140.44
  4. Step 4: Simplify right side
    5,393,978.20x = 23,092,071,428,578.44
  5. Step 5: Solve for x
    x = 23,092,071,428,578.44/5,393,978.20
  6. Step 6: Final answer
    x = 4,281,083.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.