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Finding the Fourth Proportional to 349,574.78, 482,454.15 and 198,694.46

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Solution

The fourth proportional to 349,574.78, 482,454.15 and 198,694.46 is: 274,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,574.78 : 482,454.15 = 198,694.46 : x
  2. Step 2: Convert to fraction form
    349,574.78/482,454.15 = 198,694.46/x
  3. Step 3: Cross multiply
    349,574.78x = 482,454.15 × 198,694.46
  4. Step 4: Simplify right side
    349,574.78x = 95,860,966,809.01
  5. Step 5: Solve for x
    x = 95,860,966,809.01/349,574.78
  6. Step 6: Final answer
    x = 274,221.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.