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Finding the Fourth Proportional to 578,830.80, 866,556.60 and 412,942.80

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Solution

The fourth proportional to 578,830.80, 866,556.60 and 412,942.80 is: 618,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,830.80 : 866,556.60 = 412,942.80 : x
  2. Step 2: Convert to fraction form
    578,830.80/866,556.60 = 412,942.80/x
  3. Step 3: Cross multiply
    578,830.80x = 866,556.60 × 412,942.80
  4. Step 4: Simplify right side
    578,830.80x = 357,838,308,762.48
  5. Step 5: Solve for x
    x = 357,838,308,762.48/578,830.80
  6. Step 6: Final answer
    x = 618,208.83

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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.