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Finding the Fourth Proportional to 398,409.50, 549,805.12 and 219,561.50

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Solution

The fourth proportional to 398,409.50, 549,805.12 and 219,561.50 is: 302,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409.50 : 549,805.12 = 219,561.50 : x
  2. Step 2: Convert to fraction form
    398,409.50/549,805.12 = 219,561.50/x
  3. Step 3: Cross multiply
    398,409.50x = 549,805.12 × 219,561.50
  4. Step 4: Simplify right side
    398,409.50x = 120,716,036,854.88
  5. Step 5: Solve for x
    x = 120,716,036,854.88/398,409.50
  6. Step 6: Final answer
    x = 302,994.88

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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.