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Finding the Fourth Proportional to 693,744,019.67, 957,427,284.63 and 380,538,768.32

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Solution

The fourth proportional to 693,744,019.67, 957,427,284.63 and 380,538,768.32 is: 525,176,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,744,019.67 : 957,427,284.63 = 380,538,768.32 : x
  2. Step 2: Convert to fraction form
    693,744,019.67/957,427,284.63 = 380,538,768.32/x
  3. Step 3: Cross multiply
    693,744,019.67x = 957,427,284.63 × 380,538,768.32
  4. Step 4: Simplify right side
    693,744,019.67x = 364,338,199,644,275,136
  5. Step 5: Solve for x
    x = 364,338,199,644,275,136/693,744,019.67
  6. Step 6: Final answer
    x = 525,176,706.85

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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.