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Finding the Fourth Proportional to 540,216.80, 809,158.80 and 470,232.80

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Solution

The fourth proportional to 540,216.80, 809,158.80 and 470,232.80 is: 704,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,216.80 : 809,158.80 = 470,232.80 : x
  2. Step 2: Convert to fraction form
    540,216.80/809,158.80 = 470,232.80/x
  3. Step 3: Cross multiply
    540,216.80x = 809,158.80 × 470,232.80
  4. Step 4: Simplify right side
    540,216.80x = 380,493,008,168.64
  5. Step 5: Solve for x
    x = 380,493,008,168.64/540,216.80
  6. Step 6: Final answer
    x = 704,333.90

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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.