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Finding the Fourth Proportional to 432,241.68, 647,817.12 and 219,063.18

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Solution

The fourth proportional to 432,241.68, 647,817.12 and 219,063.18 is: 328,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,241.68 : 647,817.12 = 219,063.18 : x
  2. Step 2: Convert to fraction form
    432,241.68/647,817.12 = 219,063.18/x
  3. Step 3: Cross multiply
    432,241.68x = 647,817.12 × 219,063.18
  4. Step 4: Simplify right side
    432,241.68x = 141,912,878,365.64
  5. Step 5: Solve for x
    x = 141,912,878,365.64/432,241.68
  6. Step 6: Final answer
    x = 328,318.36

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1.5x scale

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.