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Finding the Fourth Proportional to 499,544.87, 749,120.07 and 199,969.61

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Solution

The fourth proportional to 499,544.87, 749,120.07 and 199,969.61 is: 299,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,544.87 : 749,120.07 = 199,969.61 : x
  2. Step 2: Convert to fraction form
    499,544.87/749,120.07 = 199,969.61/x
  3. Step 3: Cross multiply
    499,544.87x = 749,120.07 × 199,969.61
  4. Step 4: Simplify right side
    499,544.87x = 149,801,248,241.07
  5. Step 5: Solve for x
    x = 149,801,248,241.07/499,544.87
  6. Step 6: Final answer
    x = 299,875.46

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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.