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Finding the Fourth Proportional to 539,397.20, 809,419.80 and 223,821.20

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Solution

The fourth proportional to 539,397.20, 809,419.80 and 223,821.20 is: 335,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,397.20 : 809,419.80 = 223,821.20 : x
  2. Step 2: Convert to fraction form
    539,397.20/809,419.80 = 223,821.20/x
  3. Step 3: Cross multiply
    539,397.20x = 809,419.80 × 223,821.20
  4. Step 4: Simplify right side
    539,397.20x = 181,165,310,939.76
  5. Step 5: Solve for x
    x = 181,165,310,939.76/539,397.20
  6. Step 6: Final answer
    x = 335,866.24

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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.