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Finding the Fourth Proportional to 539,284.40, 809,218.20 and 239,811.20

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Solution

The fourth proportional to 539,284.40, 809,218.20 and 239,811.20 is: 359,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,284.40 : 809,218.20 = 239,811.20 : x
  2. Step 2: Convert to fraction form
    539,284.40/809,218.20 = 239,811.20/x
  3. Step 3: Cross multiply
    539,284.40x = 809,218.20 × 239,811.20
  4. Step 4: Simplify right side
    539,284.40x = 194,059,587,603.84
  5. Step 5: Solve for x
    x = 194,059,587,603.84/539,284.40
  6. Step 6: Final answer
    x = 359,846.47

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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.