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Finding the Fourth Proportional to 522,019.65, 782,978.85 and 166,938.33

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Solution

The fourth proportional to 522,019.65, 782,978.85 and 166,938.33 is: 250,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,019.65 : 782,978.85 = 166,938.33 : x
  2. Step 2: Convert to fraction form
    522,019.65/782,978.85 = 166,938.33/x
  3. Step 3: Cross multiply
    522,019.65x = 782,978.85 × 166,938.33
  4. Step 4: Simplify right side
    522,019.65x = 130,709,181,644.32
  5. Step 5: Solve for x
    x = 130,709,181,644.32/522,019.65
  6. Step 6: Final answer
    x = 250,391.31

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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.