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Finding the Fourth Proportional to 407,652.60, 612,062.10 and 289,846.20

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Solution

The fourth proportional to 407,652.60, 612,062.10 and 289,846.20 is: 435,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,652.60 : 612,062.10 = 289,846.20 : x
  2. Step 2: Convert to fraction form
    407,652.60/612,062.10 = 289,846.20/x
  3. Step 3: Cross multiply
    407,652.60x = 612,062.10 × 289,846.20
  4. Step 4: Simplify right side
    407,652.60x = 177,403,873,849.02
  5. Step 5: Solve for x
    x = 177,403,873,849.02/407,652.60
  6. Step 6: Final answer
    x = 435,183.96

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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.