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Finding the Fourth Proportional to 491,161.20, 736,741.80 and 280,820.40

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Solution

The fourth proportional to 491,161.20, 736,741.80 and 280,820.40 is: 421,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,161.20 : 736,741.80 = 280,820.40 : x
  2. Step 2: Convert to fraction form
    491,161.20/736,741.80 = 280,820.40/x
  3. Step 3: Cross multiply
    491,161.20x = 736,741.80 × 280,820.40
  4. Step 4: Simplify right side
    491,161.20x = 206,892,126,972.72
  5. Step 5: Solve for x
    x = 206,892,126,972.72/491,161.20
  6. Step 6: Final answer
    x = 421,230.60

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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.