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Finding the Fourth Proportional to 500,179.89, 750,410.33 and 200,870.64

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Solution

The fourth proportional to 500,179.89, 750,410.33 and 200,870.64 is: 301,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,179.89 : 750,410.33 = 200,870.64 : x
  2. Step 2: Convert to fraction form
    500,179.89/750,410.33 = 200,870.64/x
  3. Step 3: Cross multiply
    500,179.89x = 750,410.33 × 200,870.64
  4. Step 4: Simplify right side
    500,179.89x = 150,735,402,245.36
  5. Step 5: Solve for x
    x = 150,735,402,245.36/500,179.89
  6. Step 6: Final answer
    x = 301,362.38

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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.