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Finding the Fourth Proportional to 1,561,555,302.56, 2,342,720,635.91 and 774,978,114.38

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Solution

The fourth proportional to 1,561,555,302.56, 2,342,720,635.91 and 774,978,114.38 is: 1,162,659,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,555,302.56 : 2,342,720,635.91 = 774,978,114.38 : x
  2. Step 2: Convert to fraction form
    1,561,555,302.56/2,342,720,635.91 = 774,978,114.38/x
  3. Step 3: Cross multiply
    1,561,555,302.56x = 2,342,720,635.91 × 774,978,114.38
  4. Step 4: Simplify right side
    1,561,555,302.56x = 1,815,557,220,928,477,440
  5. Step 5: Solve for x
    x = 1,815,557,220,928,477,440/1,561,555,302.56
  6. Step 6: Final answer
    x = 1,162,659,572.77

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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.