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Finding the Fourth Proportional to 872,294,051.20, 1,308,452,474 and 290,028,296.96

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Solution

The fourth proportional to 872,294,051.20, 1,308,452,474 and 290,028,296.96 is: 435,046,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,294,051.20 : 1,308,452,474 = 290,028,296.96 : x
  2. Step 2: Convert to fraction form
    872,294,051.20/1,308,452,474 = 290,028,296.96/x
  3. Step 3: Cross multiply
    872,294,051.20x = 1,308,452,474 × 290,028,296.96
  4. Step 4: Simplify right side
    872,294,051.20x = 379,488,242,687,318,656
  5. Step 5: Solve for x
    x = 379,488,242,687,318,656/872,294,051.20
  6. Step 6: Final answer
    x = 435,046,234.89

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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.