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Finding the Fourth Proportional to 909,660,657.75, 1,255,331,709.66 and 491,972,942.98

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Solution

The fourth proportional to 909,660,657.75, 1,255,331,709.66 and 491,972,942.98 is: 678,922,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,660,657.75 : 1,255,331,709.66 = 491,972,942.98 : x
  2. Step 2: Convert to fraction form
    909,660,657.75/1,255,331,709.66 = 491,972,942.98/x
  3. Step 3: Cross multiply
    909,660,657.75x = 1,255,331,709.66 × 491,972,942.98
  4. Step 4: Simplify right side
    909,660,657.75x = 617,589,235,617,545,216
  5. Step 5: Solve for x
    x = 617,589,235,617,545,216/909,660,657.75
  6. Step 6: Final answer
    x = 678,922,662.38

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1.5x scale

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.