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Finding the Fourth Proportional to 988,535,638.06, 1,364,089,013 and 586,580,113.78

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Solution

The fourth proportional to 988,535,638.06, 1,364,089,013 and 586,580,113.78 is: 809,427,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,535,638.06 : 1,364,089,013 = 586,580,113.78 : x
  2. Step 2: Convert to fraction form
    988,535,638.06/1,364,089,013 = 586,580,113.78/x
  3. Step 3: Cross multiply
    988,535,638.06x = 1,364,089,013 × 586,580,113.78
  4. Step 4: Simplify right side
    988,535,638.06x = 800,147,488,451,587,840
  5. Step 5: Solve for x
    x = 800,147,488,451,587,840/988,535,638.06
  6. Step 6: Final answer
    x = 809,427,053.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.