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Finding the Fourth Proportional to 398,064.64, 549,304.32 and 219,216.64

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Solution

The fourth proportional to 398,064.64, 549,304.32 and 219,216.64 is: 302,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,064.64 : 549,304.32 = 219,216.64 : x
  2. Step 2: Convert to fraction form
    398,064.64/549,304.32 = 219,216.64/x
  3. Step 3: Cross multiply
    398,064.64x = 549,304.32 × 219,216.64
  4. Step 4: Simplify right side
    398,064.64x = 120,416,647,367.89
  5. Step 5: Solve for x
    x = 120,416,647,367.89/398,064.64
  6. Step 6: Final answer
    x = 302,505.26

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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.