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Finding the Fourth Proportional to 398,169, 549,473.25 and 219,321

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Solution

The fourth proportional to 398,169, 549,473.25 and 219,321 is: 302,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,169 : 549,473.25 = 219,321 : x
  2. Step 2: Convert to fraction form
    398,169/549,473.25 = 219,321/x
  3. Step 3: Cross multiply
    398,169x = 549,473.25 × 219,321
  4. Step 4: Simplify right side
    398,169x = 120,511,022,663.25
  5. Step 5: Solve for x
    x = 120,511,022,663.25/398,169
  6. Step 6: Final answer
    x = 302,663.00

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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.