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Finding the Fourth Proportional to 397,871.62, 549,057.18 and 216,585.05

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Solution

The fourth proportional to 397,871.62, 549,057.18 and 216,585.05 is: 298,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,871.62 : 549,057.18 = 216,585.05 : x
  2. Step 2: Convert to fraction form
    397,871.62/549,057.18 = 216,585.05/x
  3. Step 3: Cross multiply
    397,871.62x = 549,057.18 × 216,585.05
  4. Step 4: Simplify right side
    397,871.62x = 118,917,574,037.87
  5. Step 5: Solve for x
    x = 118,917,574,037.87/397,871.62
  6. Step 6: Final answer
    x = 298,884.29

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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.