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Finding the Fourth Proportional to 490,694.60, 736,041.90 and 280,742.60

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Solution

The fourth proportional to 490,694.60, 736,041.90 and 280,742.60 is: 421,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,694.60 : 736,041.90 = 280,742.60 : x
  2. Step 2: Convert to fraction form
    490,694.60/736,041.90 = 280,742.60/x
  3. Step 3: Cross multiply
    490,694.60x = 736,041.90 × 280,742.60
  4. Step 4: Simplify right side
    490,694.60x = 206,638,316,714.94
  5. Step 5: Solve for x
    x = 206,638,316,714.94/490,694.60
  6. Step 6: Final answer
    x = 421,113.90

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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.