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Finding the Fourth Proportional to 407,727.80, 611,688.90 and 197,192.60

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Solution

The fourth proportional to 407,727.80, 611,688.90 and 197,192.60 is: 295,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,727.80 : 611,688.90 = 197,192.60 : x
  2. Step 2: Convert to fraction form
    407,727.80/611,688.90 = 197,192.60/x
  3. Step 3: Cross multiply
    407,727.80x = 611,688.90 × 197,192.60
  4. Step 4: Simplify right side
    407,727.80x = 120,620,524,582.14
  5. Step 5: Solve for x
    x = 120,620,524,582.14/407,727.80
  6. Step 6: Final answer
    x = 295,835.91

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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.