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Finding the Fourth Proportional to 432,254.40, 647,992.80 and 274,401.60

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Solution

The fourth proportional to 432,254.40, 647,992.80 and 274,401.60 is: 411,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,254.40 : 647,992.80 = 274,401.60 : x
  2. Step 2: Convert to fraction form
    432,254.40/647,992.80 = 274,401.60/x
  3. Step 3: Cross multiply
    432,254.40x = 647,992.80 × 274,401.60
  4. Step 4: Simplify right side
    432,254.40x = 177,810,261,108.48
  5. Step 5: Solve for x
    x = 177,810,261,108.48/432,254.40
  6. Step 6: Final answer
    x = 411,355.58

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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.