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Finding the Fourth Proportional to 499,382.21, 749,147.90 and 183,815.12

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Solution

The fourth proportional to 499,382.21, 749,147.90 and 183,815.12 is: 275,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,382.21 : 749,147.90 = 183,815.12 : x
  2. Step 2: Convert to fraction form
    499,382.21/749,147.90 = 183,815.12/x
  3. Step 3: Cross multiply
    499,382.21x = 749,147.90 × 183,815.12
  4. Step 4: Simplify right side
    499,382.21x = 137,704,706,471.43
  5. Step 5: Solve for x
    x = 137,704,706,471.43/499,382.21
  6. Step 6: Final answer
    x = 275,750.13

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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.