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Finding the Fourth Proportional to 432,198.84, 647,967.78 and 357,082.68

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Solution

The fourth proportional to 432,198.84, 647,967.78 and 357,082.68 is: 535,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,198.84 : 647,967.78 = 357,082.68 : x
  2. Step 2: Convert to fraction form
    432,198.84/647,967.78 = 357,082.68/x
  3. Step 3: Cross multiply
    432,198.84x = 647,967.78 × 357,082.68
  4. Step 4: Simplify right side
    432,198.84x = 231,378,071,436.05
  5. Step 5: Solve for x
    x = 231,378,071,436.05/432,198.84
  6. Step 6: Final answer
    x = 535,350.98

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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.