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Finding the Fourth Proportional to 978,788.70, 1,468,110.15 and 410,022.90

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Solution

The fourth proportional to 978,788.70, 1,468,110.15 and 410,022.90 is: 615,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,788.70 : 1,468,110.15 = 410,022.90 : x
  2. Step 2: Convert to fraction form
    978,788.70/1,468,110.15 = 410,022.90/x
  3. Step 3: Cross multiply
    978,788.70x = 1,468,110.15 × 410,022.90
  4. Step 4: Simplify right side
    978,788.70x = 601,958,781,222.44
  5. Step 5: Solve for x
    x = 601,958,781,222.44/978,788.70
  6. Step 6: Final answer
    x = 615,003.81

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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.