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Finding the Fourth Proportional to 398,097.44, 549,366.26 and 216,812.55

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Solution

The fourth proportional to 398,097.44, 549,366.26 and 216,812.55 is: 299,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,097.44 : 549,366.26 = 216,812.55 : x
  2. Step 2: Convert to fraction form
    398,097.44/549,366.26 = 216,812.55/x
  3. Step 3: Cross multiply
    398,097.44x = 549,366.26 × 216,812.55
  4. Step 4: Simplify right side
    398,097.44x = 119,109,499,714.56
  5. Step 5: Solve for x
    x = 119,109,499,714.56/398,097.44
  6. Step 6: Final answer
    x = 299,196.85

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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.