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Finding the Fourth Proportional to 539,534.40, 809,431.92 and 202,578.72

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Solution

The fourth proportional to 539,534.40, 809,431.92 and 202,578.72 is: 303,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,534.40 : 809,431.92 = 202,578.72 : x
  2. Step 2: Convert to fraction form
    539,534.40/809,431.92 = 202,578.72/x
  3. Step 3: Cross multiply
    539,534.40x = 809,431.92 × 202,578.72
  4. Step 4: Simplify right side
    539,534.40x = 163,973,682,280.74
  5. Step 5: Solve for x
    x = 163,973,682,280.74/539,534.40
  6. Step 6: Final answer
    x = 303,917.01

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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.