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Finding the Fourth Proportional to 723,742.46, 998,745.30 and 417,808.50

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Solution

The fourth proportional to 723,742.46, 998,745.30 and 417,808.50 is: 576,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,742.46 : 998,745.30 = 417,808.50 : x
  2. Step 2: Convert to fraction form
    723,742.46/998,745.30 = 417,808.50/x
  3. Step 3: Cross multiply
    723,742.46x = 998,745.30 × 417,808.50
  4. Step 4: Simplify right side
    723,742.46x = 417,284,275,675.05
  5. Step 5: Solve for x
    x = 417,284,275,675.05/723,742.46
  6. Step 6: Final answer
    x = 576,564.59

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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.