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Finding the Fourth Proportional to 490,255.30, 676,478.64 and 275,354.20

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Solution

The fourth proportional to 490,255.30, 676,478.64 and 275,354.20 is: 379,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,255.30 : 676,478.64 = 275,354.20 : x
  2. Step 2: Convert to fraction form
    490,255.30/676,478.64 = 275,354.20/x
  3. Step 3: Cross multiply
    490,255.30x = 676,478.64 × 275,354.20
  4. Step 4: Simplify right side
    490,255.30x = 186,271,234,734.29
  5. Step 5: Solve for x
    x = 186,271,234,734.29/490,255.30
  6. Step 6: Final answer
    x = 379,947.42

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1.5x scale

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.