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Finding the Fourth Proportional to 398,324, 549,680.17 and 217,037.43

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Solution

The fourth proportional to 398,324, 549,680.17 and 217,037.43 is: 299,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,324 : 549,680.17 = 217,037.43 : x
  2. Step 2: Convert to fraction form
    398,324/549,680.17 = 217,037.43/x
  3. Step 3: Cross multiply
    398,324x = 549,680.17 × 217,037.43
  4. Step 4: Simplify right side
    398,324x = 119,301,171,418.76
  5. Step 5: Solve for x
    x = 119,301,171,418.76/398,324
  6. Step 6: Final answer
    x = 299,507.87

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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.