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Finding the Fourth Proportional to 398,219.90, 549,543.22 and 219,371.90

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Solution

The fourth proportional to 398,219.90, 549,543.22 and 219,371.90 is: 302,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,219.90 : 549,543.22 = 219,371.90 : x
  2. Step 2: Convert to fraction form
    398,219.90/549,543.22 = 219,371.90/x
  3. Step 3: Cross multiply
    398,219.90x = 549,543.22 × 219,371.90
  4. Step 4: Simplify right side
    398,219.90x = 120,554,337,007.37
  5. Step 5: Solve for x
    x = 120,554,337,007.37/398,219.90
  6. Step 6: Final answer
    x = 302,733.08

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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.