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Finding the Fourth Proportional to 778,738,988.28, 1,074,659,856.22 and 426,314,978.98

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Solution

The fourth proportional to 778,738,988.28, 1,074,659,856.22 and 426,314,978.98 is: 588,314,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,738,988.28 : 1,074,659,856.22 = 426,314,978.98 : x
  2. Step 2: Convert to fraction form
    778,738,988.28/1,074,659,856.22 = 426,314,978.98/x
  3. Step 3: Cross multiply
    778,738,988.28x = 1,074,659,856.22 × 426,314,978.98
  4. Step 4: Simplify right side
    778,738,988.28x = 458,143,594,015,079,168
  5. Step 5: Solve for x
    x = 458,143,594,015,079,168/778,738,988.28
  6. Step 6: Final answer
    x = 588,314,699.67

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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.