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Finding the Fourth Proportional to 398,249.34, 549,581.91 and 216,960.83

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Solution

The fourth proportional to 398,249.34, 549,581.91 and 216,960.83 is: 299,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,249.34 : 549,581.91 = 216,960.83 : x
  2. Step 2: Convert to fraction form
    398,249.34/549,581.91 = 216,960.83/x
  3. Step 3: Cross multiply
    398,249.34x = 549,581.91 × 216,960.83
  4. Step 4: Simplify right side
    398,249.34x = 119,237,747,346.59
  5. Step 5: Solve for x
    x = 119,237,747,346.59/398,249.34
  6. Step 6: Final answer
    x = 299,404.76

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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.