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Finding the Fourth Proportional to 719,736, 993,323.16 and 417,930

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Solution

The fourth proportional to 719,736, 993,323.16 and 417,930 is: 576,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,736 : 993,323.16 = 417,930 : x
  2. Step 2: Convert to fraction form
    719,736/993,323.16 = 417,930/x
  3. Step 3: Cross multiply
    719,736x = 993,323.16 × 417,930
  4. Step 4: Simplify right side
    719,736x = 415,139,548,258.80
  5. Step 5: Solve for x
    x = 415,139,548,258.80/719,736
  6. Step 6: Final answer
    x = 576,794.20

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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.