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Finding the Fourth Proportional to 456,213.60, 684,709.20 and 203,882.40

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Solution

The fourth proportional to 456,213.60, 684,709.20 and 203,882.40 is: 305,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,213.60 : 684,709.20 = 203,882.40 : x
  2. Step 2: Convert to fraction form
    456,213.60/684,709.20 = 203,882.40/x
  3. Step 3: Cross multiply
    456,213.60x = 684,709.20 × 203,882.40
  4. Step 4: Simplify right side
    456,213.60x = 139,600,154,998.08
  5. Step 5: Solve for x
    x = 139,600,154,998.08/456,213.60
  6. Step 6: Final answer
    x = 305,997.36

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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.