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Finding the Fourth Proportional to 539,351,999.40, 809,027,999.10 and 310,028,428.20

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Solution

The fourth proportional to 539,351,999.40, 809,027,999.10 and 310,028,428.20 is: 465,042,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,351,999.40 : 809,027,999.10 = 310,028,428.20 : x
  2. Step 2: Convert to fraction form
    539,351,999.40/809,027,999.10 = 310,028,428.20/x
  3. Step 3: Cross multiply
    539,351,999.40x = 809,027,999.10 × 310,028,428.20
  4. Step 4: Simplify right side
    539,351,999.40x = 250,821,678,930,764,000
  5. Step 5: Solve for x
    x = 250,821,678,930,764,000/539,351,999.40
  6. Step 6: Final answer
    x = 465,042,642.30

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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.