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Finding the Fourth Proportional to 1,557,658, 2,149,568.04 and 842,266

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Solution

The fourth proportional to 1,557,658, 2,149,568.04 and 842,266 is: 1,162,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,658 : 2,149,568.04 = 842,266 : x
  2. Step 2: Convert to fraction form
    1,557,658/2,149,568.04 = 842,266/x
  3. Step 3: Cross multiply
    1,557,658x = 2,149,568.04 × 842,266
  4. Step 4: Simplify right side
    1,557,658x = 1,810,508,074,778.64
  5. Step 5: Solve for x
    x = 1,810,508,074,778.64/1,557,658
  6. Step 6: Final answer
    x = 1,162,327.08

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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.