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Finding the Fourth Proportional to 447,772.32, 671,891.76 and 198,396

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Solution

The fourth proportional to 447,772.32, 671,891.76 and 198,396 is: 297,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,772.32 : 671,891.76 = 198,396 : x
  2. Step 2: Convert to fraction form
    447,772.32/671,891.76 = 198,396/x
  3. Step 3: Cross multiply
    447,772.32x = 671,891.76 × 198,396
  4. Step 4: Simplify right side
    447,772.32x = 133,300,637,616.96
  5. Step 5: Solve for x
    x = 133,300,637,616.96/447,772.32
  6. Step 6: Final answer
    x = 297,697.36

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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.