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Finding the Fourth Proportional to 490,758, 676,968.84 and 309,158.16

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Solution

The fourth proportional to 490,758, 676,968.84 and 309,158.16 is: 426,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,758 : 676,968.84 = 309,158.16 : x
  2. Step 2: Convert to fraction form
    490,758/676,968.84 = 309,158.16/x
  3. Step 3: Cross multiply
    490,758x = 676,968.84 × 309,158.16
  4. Step 4: Simplify right side
    490,758x = 209,290,440,951.73
  5. Step 5: Solve for x
    x = 209,290,440,951.73/490,758
  6. Step 6: Final answer
    x = 426,463.64

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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.