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Finding the Fourth Proportional to 398,118, 549,402.84 and 219,270

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Solution

The fourth proportional to 398,118, 549,402.84 and 219,270 is: 302,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,118 : 549,402.84 = 219,270 : x
  2. Step 2: Convert to fraction form
    398,118/549,402.84 = 219,270/x
  3. Step 3: Cross multiply
    398,118x = 549,402.84 × 219,270
  4. Step 4: Simplify right side
    398,118x = 120,467,560,726.80
  5. Step 5: Solve for x
    x = 120,467,560,726.80/398,118
  6. Step 6: Final answer
    x = 302,592.60

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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.