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Finding the Fourth Proportional to 539,405.20, 809,431.80 and 223,829.20

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Solution

The fourth proportional to 539,405.20, 809,431.80 and 223,829.20 is: 335,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,405.20 : 809,431.80 = 223,829.20 : x
  2. Step 2: Convert to fraction form
    539,405.20/809,431.80 = 223,829.20/x
  3. Step 3: Cross multiply
    539,405.20x = 809,431.80 × 223,829.20
  4. Step 4: Simplify right side
    539,405.20x = 181,174,472,248.56
  5. Step 5: Solve for x
    x = 181,174,472,248.56/539,405.20
  6. Step 6: Final answer
    x = 335,878.25

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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.