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Finding the Fourth Proportional to 397,854.38, 549,046.06 and 216,571.52

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Solution

The fourth proportional to 397,854.38, 549,046.06 and 216,571.52 is: 298,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854.38 : 549,046.06 = 216,571.52 : x
  2. Step 2: Convert to fraction form
    397,854.38/549,046.06 = 216,571.52/x
  3. Step 3: Cross multiply
    397,854.38x = 549,046.06 × 216,571.52
  4. Step 4: Simplify right side
    397,854.38x = 118,907,740,595.40
  5. Step 5: Solve for x
    x = 118,907,740,595.40/397,854.38
  6. Step 6: Final answer
    x = 298,872.52

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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.