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Finding the Fourth Proportional to 551,139.20, 825,921.60 and 313,980.80

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Solution

The fourth proportional to 551,139.20, 825,921.60 and 313,980.80 is: 470,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,139.20 : 825,921.60 = 313,980.80 : x
  2. Step 2: Convert to fraction form
    551,139.20/825,921.60 = 313,980.80/x
  3. Step 3: Cross multiply
    551,139.20x = 825,921.60 × 313,980.80
  4. Step 4: Simplify right side
    551,139.20x = 259,323,524,705.28
  5. Step 5: Solve for x
    x = 259,323,524,705.28/551,139.20
  6. Step 6: Final answer
    x = 470,522.74

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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.