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Finding the Fourth Proportional to 470,803.36, 649,098.80 and 304,936.20

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Solution

The fourth proportional to 470,803.36, 649,098.80 and 304,936.20 is: 420,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,803.36 : 649,098.80 = 304,936.20 : x
  2. Step 2: Convert to fraction form
    470,803.36/649,098.80 = 304,936.20/x
  3. Step 3: Cross multiply
    470,803.36x = 649,098.80 × 304,936.20
  4. Step 4: Simplify right side
    470,803.36x = 197,933,721,496.56
  5. Step 5: Solve for x
    x = 197,933,721,496.56/470,803.36
  6. Step 6: Final answer
    x = 420,416.97

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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.