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Finding the Fourth Proportional to 551,110.20, 825,878.10 and 313,951.80

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Solution

The fourth proportional to 551,110.20, 825,878.10 and 313,951.80 is: 470,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,110.20 : 825,878.10 = 313,951.80 : x
  2. Step 2: Convert to fraction form
    551,110.20/825,878.10 = 313,951.80/x
  3. Step 3: Cross multiply
    551,110.20x = 825,878.10 × 313,951.80
  4. Step 4: Simplify right side
    551,110.20x = 259,285,916,075.58
  5. Step 5: Solve for x
    x = 259,285,916,075.58/551,110.20
  6. Step 6: Final answer
    x = 470,479.25

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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.