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Finding the Fourth Proportional to 540,857.50, 809,625.48 and 340,238.55

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Solution

The fourth proportional to 540,857.50, 809,625.48 and 340,238.55 is: 509,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,857.50 : 809,625.48 = 340,238.55 : x
  2. Step 2: Convert to fraction form
    540,857.50/809,625.48 = 340,238.55/x
  3. Step 3: Cross multiply
    540,857.50x = 809,625.48 × 340,238.55
  4. Step 4: Simplify right side
    540,857.50x = 275,465,799,358.25
  5. Step 5: Solve for x
    x = 275,465,799,358.25/540,857.50
  6. Step 6: Final answer
    x = 509,313.08

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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.