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Finding the Fourth Proportional to 493,405.54, 680,905.32 and 289,459.96

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Solution

The fourth proportional to 493,405.54, 680,905.32 and 289,459.96 is: 399,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,405.54 : 680,905.32 = 289,459.96 : x
  2. Step 2: Convert to fraction form
    493,405.54/680,905.32 = 289,459.96/x
  3. Step 3: Cross multiply
    493,405.54x = 680,905.32 × 289,459.96
  4. Step 4: Simplify right side
    493,405.54x = 197,094,826,690.99
  5. Step 5: Solve for x
    x = 197,094,826,690.99/493,405.54
  6. Step 6: Final answer
    x = 399,458.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.