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Finding the Fourth Proportional to 539,834.85, 809,271 and 273,458.25

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Solution

The fourth proportional to 539,834.85, 809,271 and 273,458.25 is: 409,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,834.85 : 809,271 = 273,458.25 : x
  2. Step 2: Convert to fraction form
    539,834.85/809,271 = 273,458.25/x
  3. Step 3: Cross multiply
    539,834.85x = 809,271 × 273,458.25
  4. Step 4: Simplify right side
    539,834.85x = 221,301,831,435.75
  5. Step 5: Solve for x
    x = 221,301,831,435.75/539,834.85
  6. Step 6: Final answer
    x = 409,943.58

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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.