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Finding the Fourth Proportional to 490,515.68, 677,096.62 and 286,632.90

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Solution

The fourth proportional to 490,515.68, 677,096.62 and 286,632.90 is: 395,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,515.68 : 677,096.62 = 286,632.90 : x
  2. Step 2: Convert to fraction form
    490,515.68/677,096.62 = 286,632.90/x
  3. Step 3: Cross multiply
    490,515.68x = 677,096.62 × 286,632.90
  4. Step 4: Simplify right side
    490,515.68x = 194,078,167,770.80
  5. Step 5: Solve for x
    x = 194,078,167,770.80/490,515.68
  6. Step 6: Final answer
    x = 395,661.50

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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.