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Finding the Fourth Proportional to 397,458, 548,493.48 and 216,169.92

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Solution

The fourth proportional to 397,458, 548,493.48 and 216,169.92 is: 298,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,458 : 548,493.48 = 216,169.92 : x
  2. Step 2: Convert to fraction form
    397,458/548,493.48 = 216,169.92/x
  3. Step 3: Cross multiply
    397,458x = 548,493.48 × 216,169.92
  4. Step 4: Simplify right side
    397,458x = 118,567,791,692.12
  5. Step 5: Solve for x
    x = 118,567,791,692.12/397,458
  6. Step 6: Final answer
    x = 298,315.27

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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.