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Finding the Fourth Proportional to 398,451.75, 549,897.98 and 219,638.31

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Solution

The fourth proportional to 398,451.75, 549,897.98 and 219,638.31 is: 303,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,451.75 : 549,897.98 = 219,638.31 : x
  2. Step 2: Convert to fraction form
    398,451.75/549,897.98 = 219,638.31/x
  3. Step 3: Cross multiply
    398,451.75x = 549,897.98 × 219,638.31
  4. Step 4: Simplify right side
    398,451.75x = 120,778,661,901.42
  5. Step 5: Solve for x
    x = 120,778,661,901.42/398,451.75
  6. Step 6: Final answer
    x = 303,119.92

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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.