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Finding the Fourth Proportional to 490,311.40, 735,078.30 and 268,695.40

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Solution

The fourth proportional to 490,311.40, 735,078.30 and 268,695.40 is: 402,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,311.40 : 735,078.30 = 268,695.40 : x
  2. Step 2: Convert to fraction form
    490,311.40/735,078.30 = 268,695.40/x
  3. Step 3: Cross multiply
    490,311.40x = 735,078.30 × 268,695.40
  4. Step 4: Simplify right side
    490,311.40x = 197,512,157,849.82
  5. Step 5: Solve for x
    x = 197,512,157,849.82/490,311.40
  6. Step 6: Final answer
    x = 402,830.03

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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.