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Finding the Fourth Proportional to 509,581.63, 764,464.38 and 209,898.64

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Solution

The fourth proportional to 509,581.63, 764,464.38 and 209,898.64 is: 314,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,581.63 : 764,464.38 = 209,898.64 : x
  2. Step 2: Convert to fraction form
    509,581.63/764,464.38 = 209,898.64/x
  3. Step 3: Cross multiply
    509,581.63x = 764,464.38 × 209,898.64
  4. Step 4: Simplify right side
    509,581.63x = 160,460,033,690.44
  5. Step 5: Solve for x
    x = 160,460,033,690.44/509,581.63
  6. Step 6: Final answer
    x = 314,885.83

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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.