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Finding the Fourth Proportional to 398,409, 549,804.43 and 219,561

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Solution

The fourth proportional to 398,409, 549,804.43 and 219,561 is: 302,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409 : 549,804.43 = 219,561 : x
  2. Step 2: Convert to fraction form
    398,409/549,804.43 = 219,561/x
  3. Step 3: Cross multiply
    398,409x = 549,804.43 × 219,561
  4. Step 4: Simplify right side
    398,409x = 120,715,611,004.13
  5. Step 5: Solve for x
    x = 120,715,611,004.13/398,409
  6. Step 6: Final answer
    x = 302,994.19

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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.