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Finding the Fourth Proportional to 420,629.76, 630,419.76 and 210,327.84

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Solution

The fourth proportional to 420,629.76, 630,419.76 and 210,327.84 is: 315,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,629.76 : 630,419.76 = 210,327.84 : x
  2. Step 2: Convert to fraction form
    420,629.76/630,419.76 = 210,327.84/x
  3. Step 3: Cross multiply
    420,629.76x = 630,419.76 × 210,327.84
  4. Step 4: Simplify right side
    420,629.76x = 132,594,826,414.12
  5. Step 5: Solve for x
    x = 132,594,826,414.12/420,629.76
  6. Step 6: Final answer
    x = 315,229.30

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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.