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Finding the Fourth Proportional to 1,112,978,126.84, 1,669,790,304.42 and 448,649,305.64

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Solution

The fourth proportional to 1,112,978,126.84, 1,669,790,304.42 and 448,649,305.64 is: 673,104,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112,978,126.84 : 1,669,790,304.42 = 448,649,305.64 : x
  2. Step 2: Convert to fraction form
    1,112,978,126.84/1,669,790,304.42 = 448,649,305.64/x
  3. Step 3: Cross multiply
    1,112,978,126.84x = 1,669,790,304.42 × 448,649,305.64
  4. Step 4: Simplify right side
    1,112,978,126.84x = 749,150,260,642,437,248
  5. Step 5: Solve for x
    x = 749,150,260,642,437,248/1,112,978,126.84
  6. Step 6: Final answer
    x = 673,104,208.05

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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.