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Finding the Fourth Proportional to 432,043.60, 647,758.20 and 165,701.20

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Solution

The fourth proportional to 432,043.60, 647,758.20 and 165,701.20 is: 248,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,043.60 : 647,758.20 = 165,701.20 : x
  2. Step 2: Convert to fraction form
    432,043.60/647,758.20 = 165,701.20/x
  3. Step 3: Cross multiply
    432,043.60x = 647,758.20 × 165,701.20
  4. Step 4: Simplify right side
    432,043.60x = 107,334,311,049.84
  5. Step 5: Solve for x
    x = 107,334,311,049.84/432,043.60
  6. Step 6: Final answer
    x = 248,433.98

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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.