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Finding the Fourth Proportional to 681,876,992.90, 1,022,852,001.32 and 215,502,938.93

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Solution

The fourth proportional to 681,876,992.90, 1,022,852,001.32 and 215,502,938.93 is: 323,265,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,876,992.90 : 1,022,852,001.32 = 215,502,938.93 : x
  2. Step 2: Convert to fraction form
    681,876,992.90/1,022,852,001.32 = 215,502,938.93/x
  3. Step 3: Cross multiply
    681,876,992.90x = 1,022,852,001.32 × 215,502,938.93
  4. Step 4: Simplify right side
    681,876,992.90x = 220,427,612,368,700,480
  5. Step 5: Solve for x
    x = 220,427,612,368,700,480/681,876,992.90
  6. Step 6: Final answer
    x = 323,265,947.77

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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.