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Finding the Fourth Proportional to 398,464.88, 549,865.40 and 217,172.88

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Solution

The fourth proportional to 398,464.88, 549,865.40 and 217,172.88 is: 299,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,464.88 : 549,865.40 = 217,172.88 : x
  2. Step 2: Convert to fraction form
    398,464.88/549,865.40 = 217,172.88/x
  3. Step 3: Cross multiply
    398,464.88x = 549,865.40 × 217,172.88
  4. Step 4: Simplify right side
    398,464.88x = 119,415,852,530.35
  5. Step 5: Solve for x
    x = 119,415,852,530.35/398,464.88
  6. Step 6: Final answer
    x = 299,689.78

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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.