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Finding the Fourth Proportional to 397,861.96, 549,056.49 and 216,579.10

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Solution

The fourth proportional to 397,861.96, 549,056.49 and 216,579.10 is: 298,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,861.96 : 549,056.49 = 216,579.10 : x
  2. Step 2: Convert to fraction form
    397,861.96/549,056.49 = 216,579.10/x
  3. Step 3: Cross multiply
    397,861.96x = 549,056.49 × 216,579.10
  4. Step 4: Simplify right side
    397,861.96x = 118,914,160,453.36
  5. Step 5: Solve for x
    x = 118,914,160,453.36/397,861.96
  6. Step 6: Final answer
    x = 298,882.96

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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.