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Finding the Fourth Proportional to 470,186.70, 649,023.20 and 279,198.69

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Solution

The fourth proportional to 470,186.70, 649,023.20 and 279,198.69 is: 385,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,186.70 : 649,023.20 = 279,198.69 : x
  2. Step 2: Convert to fraction form
    470,186.70/649,023.20 = 279,198.69/x
  3. Step 3: Cross multiply
    470,186.70x = 649,023.20 × 279,198.69
  4. Step 4: Simplify right side
    470,186.70x = 181,206,427,219.61
  5. Step 5: Solve for x
    x = 181,206,427,219.61/470,186.70
  6. Step 6: Final answer
    x = 385,392.50

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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.