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Finding the Fourth Proportional to 260,031.40, 389,739.90 and 110,271.40

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Solution

The fourth proportional to 260,031.40, 389,739.90 and 110,271.40 is: 165,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.40 : 389,739.90 = 110,271.40 : x
  2. Step 2: Convert to fraction form
    260,031.40/389,739.90 = 110,271.40/x
  3. Step 3: Cross multiply
    260,031.40x = 389,739.90 × 110,271.40
  4. Step 4: Simplify right side
    260,031.40x = 42,977,164,408.86
  5. Step 5: Solve for x
    x = 42,977,164,408.86/260,031.40
  6. Step 6: Final answer
    x = 165,276.83

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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.