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Finding the Fourth Proportional to 398,288.57, 549,633.17 and 217,008.05

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Solution

The fourth proportional to 398,288.57, 549,633.17 and 217,008.05 is: 299,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,288.57 : 549,633.17 = 217,008.05 : x
  2. Step 2: Convert to fraction form
    398,288.57/549,633.17 = 217,008.05/x
  3. Step 3: Cross multiply
    398,288.57x = 549,633.17 × 217,008.05
  4. Step 4: Simplify right side
    398,288.57x = 119,274,820,231.37
  5. Step 5: Solve for x
    x = 119,274,820,231.37/398,288.57
  6. Step 6: Final answer
    x = 299,468.35

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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.