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Finding the Fourth Proportional to 461,271.60, 691,907.40 and 443,556.90

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Solution

The fourth proportional to 461,271.60, 691,907.40 and 443,556.90 is: 665,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,271.60 : 691,907.40 = 443,556.90 : x
  2. Step 2: Convert to fraction form
    461,271.60/691,907.40 = 443,556.90/x
  3. Step 3: Cross multiply
    461,271.60x = 691,907.40 × 443,556.90
  4. Step 4: Simplify right side
    461,271.60x = 306,900,301,431.06
  5. Step 5: Solve for x
    x = 306,900,301,431.06/461,271.60
  6. Step 6: Final answer
    x = 665,335.35

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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.