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Finding the Fourth Proportional to 297,085.60, 446,023.92 and 172,516

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Solution

The fourth proportional to 297,085.60, 446,023.92 and 172,516 is: 259,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,085.60 : 446,023.92 = 172,516 : x
  2. Step 2: Convert to fraction form
    297,085.60/446,023.92 = 172,516/x
  3. Step 3: Cross multiply
    297,085.60x = 446,023.92 × 172,516
  4. Step 4: Simplify right side
    297,085.60x = 76,946,262,582.72
  5. Step 5: Solve for x
    x = 76,946,262,582.72/297,085.60
  6. Step 6: Final answer
    x = 259,003.68

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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.