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Finding the Fourth Proportional to 298,498.14, 411,934.82 and 162,539.55

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Solution

The fourth proportional to 298,498.14, 411,934.82 and 162,539.55 is: 224,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,498.14 : 411,934.82 = 162,539.55 : x
  2. Step 2: Convert to fraction form
    298,498.14/411,934.82 = 162,539.55/x
  3. Step 3: Cross multiply
    298,498.14x = 411,934.82 × 162,539.55
  4. Step 4: Simplify right side
    298,498.14x = 66,955,699,459.43
  5. Step 5: Solve for x
    x = 66,955,699,459.43/298,498.14
  6. Step 6: Final answer
    x = 224,308.60

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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.