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Finding the Fourth Proportional to 398,071.14, 549,313.28 and 219,223.14

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Solution

The fourth proportional to 398,071.14, 549,313.28 and 219,223.14 is: 302,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,071.14 : 549,313.28 = 219,223.14 : x
  2. Step 2: Convert to fraction form
    398,071.14/549,313.28 = 219,223.14/x
  3. Step 3: Cross multiply
    398,071.14x = 549,313.28 × 219,223.14
  4. Step 4: Simplify right side
    398,071.14x = 120,422,182,085.30
  5. Step 5: Solve for x
    x = 120,422,182,085.30/398,071.14
  6. Step 6: Final answer
    x = 302,514.22

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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.