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Finding the Fourth Proportional to 1,220,141,138.00, 1,683,978,826.55 and 744,107,678.45

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Solution

The fourth proportional to 1,220,141,138.00, 1,683,978,826.55 and 744,107,678.45 is: 1,026,980,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,141,138.00 : 1,683,978,826.55 = 744,107,678.45 : x
  2. Step 2: Convert to fraction form
    1,220,141,138.00/1,683,978,826.55 = 744,107,678.45/x
  3. Step 3: Cross multiply
    1,220,141,138.00x = 1,683,978,826.55 × 744,107,678.45
  4. Step 4: Simplify right side
    1,220,141,138.00x = 1,253,061,575,170,935,552
  5. Step 5: Solve for x
    x = 1,253,061,575,170,935,552/1,220,141,138.00
  6. Step 6: Final answer
    x = 1,026,980,843.57

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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.