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Finding the Fourth Proportional to 689,641,696.90, 1,034,966,430.15 and 485,568,352.90

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Solution

The fourth proportional to 689,641,696.90, 1,034,966,430.15 and 485,568,352.90 is: 728,707,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,641,696.90 : 1,034,966,430.15 = 485,568,352.90 : x
  2. Step 2: Convert to fraction form
    689,641,696.90/1,034,966,430.15 = 485,568,352.90/x
  3. Step 3: Cross multiply
    689,641,696.90x = 1,034,966,430.15 × 485,568,352.90
  4. Step 4: Simplify right side
    689,641,696.90x = 502,546,944,794,728,384
  5. Step 5: Solve for x
    x = 502,546,944,794,728,384/689,641,696.90
  6. Step 6: Final answer
    x = 728,707,308.53

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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.