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Finding the Fourth Proportional to 297,081.60, 446,017.92 and 172,512

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Solution

The fourth proportional to 297,081.60, 446,017.92 and 172,512 is: 258,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,081.60 : 446,017.92 = 172,512 : x
  2. Step 2: Convert to fraction form
    297,081.60/446,017.92 = 172,512/x
  3. Step 3: Cross multiply
    297,081.60x = 446,017.92 × 172,512
  4. Step 4: Simplify right side
    297,081.60x = 76,943,443,415.04
  5. Step 5: Solve for x
    x = 76,943,443,415.04/297,081.60
  6. Step 6: Final answer
    x = 258,997.67

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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.