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Finding the Fourth Proportional to 778,572,004.10, 1,167,858,006.15 and 744,134,627.30

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Solution

The fourth proportional to 778,572,004.10, 1,167,858,006.15 and 744,134,627.30 is: 1,116,201,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,572,004.10 : 1,167,858,006.15 = 744,134,627.30 : x
  2. Step 2: Convert to fraction form
    778,572,004.10/1,167,858,006.15 = 744,134,627.30/x
  3. Step 3: Cross multiply
    778,572,004.10x = 1,167,858,006.15 × 744,134,627.30
  4. Step 4: Simplify right side
    778,572,004.10x = 869,043,582,145,751,424
  5. Step 5: Solve for x
    x = 869,043,582,145,751,424/778,572,004.10
  6. Step 6: Final answer
    x = 1,116,201,940.95

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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.