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Finding the Fourth Proportional to 308,000.20, 462,065.10 and 130,415.80

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Solution

The fourth proportional to 308,000.20, 462,065.10 and 130,415.80 is: 195,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,000.20 : 462,065.10 = 130,415.80 : x
  2. Step 2: Convert to fraction form
    308,000.20/462,065.10 = 130,415.80/x
  3. Step 3: Cross multiply
    308,000.20x = 462,065.10 × 130,415.80
  4. Step 4: Simplify right side
    308,000.20x = 60,260,589,668.58
  5. Step 5: Solve for x
    x = 60,260,589,668.58/308,000.20
  6. Step 6: Final answer
    x = 195,651.14

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1.5x scale

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.