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Finding the Fourth Proportional to 539,513.10, 809,205.07 and 419,689.76

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Solution

The fourth proportional to 539,513.10, 809,205.07 and 419,689.76 is: 629,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,513.10 : 809,205.07 = 419,689.76 : x
  2. Step 2: Convert to fraction form
    539,513.10/809,205.07 = 419,689.76/x
  3. Step 3: Cross multiply
    539,513.10x = 809,205.07 × 419,689.76
  4. Step 4: Simplify right side
    539,513.10x = 339,615,082,592.87
  5. Step 5: Solve for x
    x = 339,615,082,592.87/539,513.10
  6. Step 6: Final answer
    x = 629,484.40

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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.