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Finding the Fourth Proportional to 397,978.97, 549,221.45 and 216,698.54

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Solution

The fourth proportional to 397,978.97, 549,221.45 and 216,698.54 is: 299,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,978.97 : 549,221.45 = 216,698.54 : x
  2. Step 2: Convert to fraction form
    397,978.97/549,221.45 = 216,698.54/x
  3. Step 3: Cross multiply
    397,978.97x = 549,221.45 × 216,698.54
  4. Step 4: Simplify right side
    397,978.97x = 119,015,482,522.08
  5. Step 5: Solve for x
    x = 119,015,482,522.08/397,978.97
  6. Step 6: Final answer
    x = 299,049.68

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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.