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Finding the Fourth Proportional to 326,709.16, 450,907.46 and 199,458.68

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Solution

The fourth proportional to 326,709.16, 450,907.46 and 199,458.68 is: 275,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,709.16 : 450,907.46 = 199,458.68 : x
  2. Step 2: Convert to fraction form
    326,709.16/450,907.46 = 199,458.68/x
  3. Step 3: Cross multiply
    326,709.16x = 450,907.46 × 199,458.68
  4. Step 4: Simplify right side
    326,709.16x = 89,937,406,773.75
  5. Step 5: Solve for x
    x = 89,937,406,773.75/326,709.16
  6. Step 6: Final answer
    x = 275,282.78

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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.