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Finding the Fourth Proportional to 512,999.70, 769,499.55 and 139,022.70

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Solution

The fourth proportional to 512,999.70, 769,499.55 and 139,022.70 is: 208,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.70 : 769,499.55 = 139,022.70 : x
  2. Step 2: Convert to fraction form
    512,999.70/769,499.55 = 139,022.70/x
  3. Step 3: Cross multiply
    512,999.70x = 769,499.55 × 139,022.70
  4. Step 4: Simplify right side
    512,999.70x = 106,977,905,089.79
  5. Step 5: Solve for x
    x = 106,977,905,089.79/512,999.70
  6. Step 6: Final answer
    x = 208,534.05

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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.