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Finding the Fourth Proportional to 551,235.20, 826,065.60 and 314,076.80

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Solution

The fourth proportional to 551,235.20, 826,065.60 and 314,076.80 is: 470,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,235.20 : 826,065.60 = 314,076.80 : x
  2. Step 2: Convert to fraction form
    551,235.20/826,065.60 = 314,076.80/x
  3. Step 3: Cross multiply
    551,235.20x = 826,065.60 × 314,076.80
  4. Step 4: Simplify right side
    551,235.20x = 259,448,040,238.08
  5. Step 5: Solve for x
    x = 259,448,040,238.08/551,235.20
  6. Step 6: Final answer
    x = 470,666.68

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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.