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Finding the Fourth Proportional to 397,919.64, 549,123.66 and 216,633.12

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Solution

The fourth proportional to 397,919.64, 549,123.66 and 216,633.12 is: 298,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,919.64 : 549,123.66 = 216,633.12 : x
  2. Step 2: Convert to fraction form
    397,919.64/549,123.66 = 216,633.12/x
  3. Step 3: Cross multiply
    397,919.64x = 549,123.66 × 216,633.12
  4. Step 4: Simplify right side
    397,919.64x = 118,958,371,731.62
  5. Step 5: Solve for x
    x = 118,958,371,731.62/397,919.64
  6. Step 6: Final answer
    x = 298,950.74

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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.