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Finding the Fourth Proportional to 398,826.46, 598,352.73 and 162,338.86

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Solution

The fourth proportional to 398,826.46, 598,352.73 and 162,338.86 is: 243,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,826.46 : 598,352.73 = 162,338.86 : x
  2. Step 2: Convert to fraction form
    398,826.46/598,352.73 = 162,338.86/x
  3. Step 3: Cross multiply
    398,826.46x = 598,352.73 × 162,338.86
  4. Step 4: Simplify right side
    398,826.46x = 97,135,900,066.09
  5. Step 5: Solve for x
    x = 97,135,900,066.09/398,826.46
  6. Step 6: Final answer
    x = 243,554.30

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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.