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Finding the Fourth Proportional to 540,315.78, 809,749.17 and 420,517.37

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Solution

The fourth proportional to 540,315.78, 809,749.17 and 420,517.37 is: 630,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,315.78 : 809,749.17 = 420,517.37 : x
  2. Step 2: Convert to fraction form
    540,315.78/809,749.17 = 420,517.37/x
  3. Step 3: Cross multiply
    540,315.78x = 809,749.17 × 420,517.37
  4. Step 4: Simplify right side
    540,315.78x = 340,513,587,279.34
  5. Step 5: Solve for x
    x = 340,513,587,279.34/540,315.78
  6. Step 6: Final answer
    x = 630,212.18

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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.