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Finding the Fourth Proportional to 456,231.60, 684,736.20 and 203,900.40

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Solution

The fourth proportional to 456,231.60, 684,736.20 and 203,900.40 is: 306,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,231.60 : 684,736.20 = 203,900.40 : x
  2. Step 2: Convert to fraction form
    456,231.60/684,736.20 = 203,900.40/x
  3. Step 3: Cross multiply
    456,231.60x = 684,736.20 × 203,900.40
  4. Step 4: Simplify right side
    456,231.60x = 139,617,985,074.48
  5. Step 5: Solve for x
    x = 139,617,985,074.48/456,231.60
  6. Step 6: Final answer
    x = 306,024.36

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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.