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Finding the Fourth Proportional to 540,301.88, 809,728.38 and 420,503.49

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Solution

The fourth proportional to 540,301.88, 809,728.38 and 420,503.49 is: 630,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,301.88 : 809,728.38 = 420,503.49 : x
  2. Step 2: Convert to fraction form
    540,301.88/809,728.38 = 420,503.49/x
  3. Step 3: Cross multiply
    540,301.88x = 809,728.38 × 420,503.49
  4. Step 4: Simplify right side
    540,301.88x = 340,493,609,742.05
  5. Step 5: Solve for x
    x = 340,493,609,742.05/540,301.88
  6. Step 6: Final answer
    x = 630,191.42

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1.5x scale

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.