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Finding the Fourth Proportional to 456,359.60, 684,928.20 and 204,028.40

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Solution

The fourth proportional to 456,359.60, 684,928.20 and 204,028.40 is: 306,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,359.60 : 684,928.20 = 204,028.40 : x
  2. Step 2: Convert to fraction form
    456,359.60/684,928.20 = 204,028.40/x
  3. Step 3: Cross multiply
    456,359.60x = 684,928.20 × 204,028.40
  4. Step 4: Simplify right side
    456,359.60x = 139,744,804,760.88
  5. Step 5: Solve for x
    x = 139,744,804,760.88/456,359.60
  6. Step 6: Final answer
    x = 306,216.42

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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.