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Finding the Fourth Proportional to 418,498, 628,023.48 and 196,899.28

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Solution

The fourth proportional to 418,498, 628,023.48 and 196,899.28 is: 295,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,498 : 628,023.48 = 196,899.28 : x
  2. Step 2: Convert to fraction form
    418,498/628,023.48 = 196,899.28/x
  3. Step 3: Cross multiply
    418,498x = 628,023.48 × 196,899.28
  4. Step 4: Simplify right side
    418,498x = 123,657,371,035.09
  5. Step 5: Solve for x
    x = 123,657,371,035.09/418,498
  6. Step 6: Final answer
    x = 295,479.00

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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.