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Finding the Fourth Proportional to 540,317.53, 809,751.78 and 420,519.13

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Solution

The fourth proportional to 540,317.53, 809,751.78 and 420,519.13 is: 630,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,317.53 : 809,751.78 = 420,519.13 : x
  2. Step 2: Convert to fraction form
    540,317.53/809,751.78 = 420,519.13/x
  3. Step 3: Cross multiply
    540,317.53x = 809,751.78 × 420,519.13
  4. Step 4: Simplify right side
    540,317.53x = 340,516,114,041.55
  5. Step 5: Solve for x
    x = 340,516,114,041.55/540,317.53
  6. Step 6: Final answer
    x = 630,214.82

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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.