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Finding the Fourth Proportional to 398,161.50, 549,462.90 and 219,313.50

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Solution

The fourth proportional to 398,161.50, 549,462.90 and 219,313.50 is: 302,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,161.50 : 549,462.90 = 219,313.50 : x
  2. Step 2: Convert to fraction form
    398,161.50/549,462.90 = 219,313.50/x
  3. Step 3: Cross multiply
    398,161.50x = 549,462.90 × 219,313.50
  4. Step 4: Simplify right side
    398,161.50x = 120,504,631,719.15
  5. Step 5: Solve for x
    x = 120,504,631,719.15/398,161.50
  6. Step 6: Final answer
    x = 302,652.65

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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.