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Finding the Fourth Proportional to 398,219.52, 549,542.70 and 219,371.52

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Solution

The fourth proportional to 398,219.52, 549,542.70 and 219,371.52 is: 302,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,219.52 : 549,542.70 = 219,371.52 : x
  2. Step 2: Convert to fraction form
    398,219.52/549,542.70 = 219,371.52/x
  3. Step 3: Cross multiply
    398,219.52x = 549,542.70 × 219,371.52
  4. Step 4: Simplify right side
    398,219.52x = 120,554,017,403.90
  5. Step 5: Solve for x
    x = 120,554,017,403.90/398,219.52
  6. Step 6: Final answer
    x = 302,732.57

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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.