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Finding the Fourth Proportional to 298,539.42, 411,951.87 and 171,211.74

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Solution

The fourth proportional to 298,539.42, 411,951.87 and 171,211.74 is: 236,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,539.42 : 411,951.87 = 171,211.74 : x
  2. Step 2: Convert to fraction form
    298,539.42/411,951.87 = 171,211.74/x
  3. Step 3: Cross multiply
    298,539.42x = 411,951.87 × 171,211.74
  4. Step 4: Simplify right side
    298,539.42x = 70,530,996,458.95
  5. Step 5: Solve for x
    x = 70,530,996,458.95/298,539.42
  6. Step 6: Final answer
    x = 236,253.55

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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.