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Finding the Fourth Proportional to 3,812,649.60, 5,718,974.40 and 1,288,268.40

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Solution

The fourth proportional to 3,812,649.60, 5,718,974.40 and 1,288,268.40 is: 1,932,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812,649.60 : 5,718,974.40 = 1,288,268.40 : x
  2. Step 2: Convert to fraction form
    3,812,649.60/5,718,974.40 = 1,288,268.40/x
  3. Step 3: Cross multiply
    3,812,649.60x = 5,718,974.40 × 1,288,268.40
  4. Step 4: Simplify right side
    3,812,649.60x = 7,367,573,999,928.96
  5. Step 5: Solve for x
    x = 7,367,573,999,928.96/3,812,649.60
  6. Step 6: Final answer
    x = 1,932,402.60

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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.