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Finding the Fourth Proportional to 3,787,486.40, 5,678,464.80 and 1,542,468.80

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Solution

The fourth proportional to 3,787,486.40, 5,678,464.80 and 1,542,468.80 is: 2,312,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,486.40 : 5,678,464.80 = 1,542,468.80 : x
  2. Step 2: Convert to fraction form
    3,787,486.40/5,678,464.80 = 1,542,468.80/x
  3. Step 3: Cross multiply
    3,787,486.40x = 5,678,464.80 × 1,542,468.80
  4. Step 4: Simplify right side
    3,787,486.40x = 8,758,854,785,898.24
  5. Step 5: Solve for x
    x = 8,758,854,785,898.24/3,787,486.40
  6. Step 6: Final answer
    x = 2,312,577.22

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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.