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Finding the Fourth Proportional to 397,850.95, 549,041.31 and 216,568.09

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Solution

The fourth proportional to 397,850.95, 549,041.31 and 216,568.09 is: 298,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,850.95 : 549,041.31 = 216,568.09 : x
  2. Step 2: Convert to fraction form
    397,850.95/549,041.31 = 216,568.09/x
  3. Step 3: Cross multiply
    397,850.95x = 549,041.31 × 216,568.09
  4. Step 4: Simplify right side
    397,850.95x = 118,904,824,009.75
  5. Step 5: Solve for x
    x = 118,904,824,009.75/397,850.95
  6. Step 6: Final answer
    x = 298,867.77

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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.