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Finding the Fourth Proportional to 719,620.75, 993,164.12 and 417,814.75

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Solution

The fourth proportional to 719,620.75, 993,164.12 and 417,814.75 is: 576,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,620.75 : 993,164.12 = 417,814.75 : x
  2. Step 2: Convert to fraction form
    719,620.75/993,164.12 = 417,814.75/x
  3. Step 3: Cross multiply
    719,620.75x = 993,164.12 × 417,814.75
  4. Step 4: Simplify right side
    719,620.75x = 414,958,618,506.77
  5. Step 5: Solve for x
    x = 414,958,618,506.77/719,620.75
  6. Step 6: Final answer
    x = 576,635.15

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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.