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Finding the Fourth Proportional to 398,193.07, 549,488.70 and 232,636.38

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Solution

The fourth proportional to 398,193.07, 549,488.70 and 232,636.38 is: 321,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,193.07 : 549,488.70 = 232,636.38 : x
  2. Step 2: Convert to fraction form
    398,193.07/549,488.70 = 232,636.38/x
  3. Step 3: Cross multiply
    398,193.07x = 549,488.70 × 232,636.38
  4. Step 4: Simplify right side
    398,193.07x = 127,831,061,517.57
  5. Step 5: Solve for x
    x = 127,831,061,517.57/398,193.07
  6. Step 6: Final answer
    x = 321,027.84

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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.