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Finding the Fourth Proportional to 540,319.28, 809,754.42 and 420,520.86

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Solution

The fourth proportional to 540,319.28, 809,754.42 and 420,520.86 is: 630,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,319.28 : 809,754.42 = 420,520.86 : x
  2. Step 2: Convert to fraction form
    540,319.28/809,754.42 = 420,520.86/x
  3. Step 3: Cross multiply
    540,319.28x = 809,754.42 × 420,520.86
  4. Step 4: Simplify right side
    540,319.28x = 340,518,625,087.20
  5. Step 5: Solve for x
    x = 340,518,625,087.20/540,319.28
  6. Step 6: Final answer
    x = 630,217.42

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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.