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Finding the Fourth Proportional to 259,403.92, 357,978 and 146,226.67

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Solution

The fourth proportional to 259,403.92, 357,978 and 146,226.67 is: 201,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,403.92 : 357,978 = 146,226.67 : x
  2. Step 2: Convert to fraction form
    259,403.92/357,978 = 146,226.67/x
  3. Step 3: Cross multiply
    259,403.92x = 357,978 × 146,226.67
  4. Step 4: Simplify right side
    259,403.92x = 52,345,930,873.26
  5. Step 5: Solve for x
    x = 52,345,930,873.26/259,403.92
  6. Step 6: Final answer
    x = 201,793.14

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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.