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Finding the Fourth Proportional to 519,149.66, 716,425.19 and 289,704.50

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Solution

The fourth proportional to 519,149.66, 716,425.19 and 289,704.50 is: 399,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,149.66 : 716,425.19 = 289,704.50 : x
  2. Step 2: Convert to fraction form
    519,149.66/716,425.19 = 289,704.50/x
  3. Step 3: Cross multiply
    519,149.66x = 716,425.19 × 289,704.50
  4. Step 4: Simplify right side
    519,149.66x = 207,551,600,198.69
  5. Step 5: Solve for x
    x = 207,551,600,198.69/519,149.66
  6. Step 6: Final answer
    x = 399,791.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.