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Finding the Fourth Proportional to 320,855.20, 481,282.80 and 305,303.20

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Solution

The fourth proportional to 320,855.20, 481,282.80 and 305,303.20 is: 457,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,855.20 : 481,282.80 = 305,303.20 : x
  2. Step 2: Convert to fraction form
    320,855.20/481,282.80 = 305,303.20/x
  3. Step 3: Cross multiply
    320,855.20x = 481,282.80 × 305,303.20
  4. Step 4: Simplify right side
    320,855.20x = 146,937,178,944.96
  5. Step 5: Solve for x
    x = 146,937,178,944.96/320,855.20
  6. Step 6: Final answer
    x = 457,954.80

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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.