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Finding the Fourth Proportional to 397,854.32, 549,045.96 and 216,571.46

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Solution

The fourth proportional to 397,854.32, 549,045.96 and 216,571.46 is: 298,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854.32 : 549,045.96 = 216,571.46 : x
  2. Step 2: Convert to fraction form
    397,854.32/549,045.96 = 216,571.46/x
  3. Step 3: Cross multiply
    397,854.32x = 549,045.96 × 216,571.46
  4. Step 4: Simplify right side
    397,854.32x = 118,907,685,164.30
  5. Step 5: Solve for x
    x = 118,907,685,164.30/397,854.32
  6. Step 6: Final answer
    x = 298,872.42

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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.