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Finding the Fourth Proportional to 308,132.90, 462,199.35 and 206,656.10

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Solution

The fourth proportional to 308,132.90, 462,199.35 and 206,656.10 is: 309,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132.90 : 462,199.35 = 206,656.10 : x
  2. Step 2: Convert to fraction form
    308,132.90/462,199.35 = 206,656.10/x
  3. Step 3: Cross multiply
    308,132.90x = 462,199.35 × 206,656.10
  4. Step 4: Simplify right side
    308,132.90x = 95,516,315,093.54
  5. Step 5: Solve for x
    x = 95,516,315,093.54/308,132.90
  6. Step 6: Final answer
    x = 309,984.15

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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.