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Finding the Fourth Proportional to 398,194.48, 549,508.44 and 219,346.48

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Solution

The fourth proportional to 398,194.48, 549,508.44 and 219,346.48 is: 302,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,194.48 : 549,508.44 = 219,346.48 : x
  2. Step 2: Convert to fraction form
    398,194.48/549,508.44 = 219,346.48/x
  3. Step 3: Cross multiply
    398,194.48x = 549,508.44 × 219,346.48
  4. Step 4: Simplify right side
    398,194.48x = 120,532,742,044.29
  5. Step 5: Solve for x
    x = 120,532,742,044.29/398,194.48
  6. Step 6: Final answer
    x = 302,698.17

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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.