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Finding the Fourth Proportional to 539,287.40, 809,222.70 and 239,814.20

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Solution

The fourth proportional to 539,287.40, 809,222.70 and 239,814.20 is: 359,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,287.40 : 809,222.70 = 239,814.20 : x
  2. Step 2: Convert to fraction form
    539,287.40/809,222.70 = 239,814.20/x
  3. Step 3: Cross multiply
    539,287.40x = 809,222.70 × 239,814.20
  4. Step 4: Simplify right side
    539,287.40x = 194,063,094,422.34
  5. Step 5: Solve for x
    x = 194,063,094,422.34/539,287.40
  6. Step 6: Final answer
    x = 359,850.97

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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.