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Finding the Fourth Proportional to 1,259,714,367.80, 1,889,571,551.70 and 741,878,257.40

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Solution

The fourth proportional to 1,259,714,367.80, 1,889,571,551.70 and 741,878,257.40 is: 1,112,817,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,714,367.80 : 1,889,571,551.70 = 741,878,257.40 : x
  2. Step 2: Convert to fraction form
    1,259,714,367.80/1,889,571,551.70 = 741,878,257.40/x
  3. Step 3: Cross multiply
    1,259,714,367.80x = 1,889,571,551.70 × 741,878,257.40
  4. Step 4: Simplify right side
    1,259,714,367.80x = 1,401,832,050,007,810,048
  5. Step 5: Solve for x
    x = 1,401,832,050,007,810,048/1,259,714,367.80
  6. Step 6: Final answer
    x = 1,112,817,386.10

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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.