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Finding the Fourth Proportional to 408,854.90, 613,284.65 and 364,083.75

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Solution

The fourth proportional to 408,854.90, 613,284.65 and 364,083.75 is: 546,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,854.90 : 613,284.65 = 364,083.75 : x
  2. Step 2: Convert to fraction form
    408,854.90/613,284.65 = 364,083.75/x
  3. Step 3: Cross multiply
    408,854.90x = 613,284.65 × 364,083.75
  4. Step 4: Simplify right side
    408,854.90x = 223,286,975,189.44
  5. Step 5: Solve for x
    x = 223,286,975,189.44/408,854.90
  6. Step 6: Final answer
    x = 546,127.67

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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.