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Finding the Fourth Proportional to 884,736,006.40, 1,327,104,009.60 and 809,489,209.60

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Solution

The fourth proportional to 884,736,006.40, 1,327,104,009.60 and 809,489,209.60 is: 1,214,233,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,736,006.40 : 1,327,104,009.60 = 809,489,209.60 : x
  2. Step 2: Convert to fraction form
    884,736,006.40/1,327,104,009.60 = 809,489,209.60/x
  3. Step 3: Cross multiply
    884,736,006.40x = 1,327,104,009.60 × 809,489,209.60
  4. Step 4: Simplify right side
    884,736,006.40x = 1,074,276,375,788,094,720
  5. Step 5: Solve for x
    x = 1,074,276,375,788,094,720/884,736,006.40
  6. Step 6: Final answer
    x = 1,214,233,814.40

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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.