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Finding the Fourth Proportional to 432,388.98, 648,517.02 and 144,205.68

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Solution

The fourth proportional to 432,388.98, 648,517.02 and 144,205.68 is: 216,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,388.98 : 648,517.02 = 144,205.68 : x
  2. Step 2: Convert to fraction form
    432,388.98/648,517.02 = 144,205.68/x
  3. Step 3: Cross multiply
    432,388.98x = 648,517.02 × 144,205.68
  4. Step 4: Simplify right side
    432,388.98x = 93,519,837,860.67
  5. Step 5: Solve for x
    x = 93,519,837,860.67/432,388.98
  6. Step 6: Final answer
    x = 216,286.36

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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.