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Finding the Fourth Proportional to 199,314.60, 298,971.90 and 163,885.20

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Solution

The fourth proportional to 199,314.60, 298,971.90 and 163,885.20 is: 245,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314.60 : 298,971.90 = 163,885.20 : x
  2. Step 2: Convert to fraction form
    199,314.60/298,971.90 = 163,885.20/x
  3. Step 3: Cross multiply
    199,314.60x = 298,971.90 × 163,885.20
  4. Step 4: Simplify right side
    199,314.60x = 48,997,069,625.88
  5. Step 5: Solve for x
    x = 48,997,069,625.88/199,314.60
  6. Step 6: Final answer
    x = 245,827.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.