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Finding the Fourth Proportional to 399,395.84, 551,162.88 and 220,544

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Solution

The fourth proportional to 399,395.84, 551,162.88 and 220,544 is: 304,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,395.84 : 551,162.88 = 220,544 : x
  2. Step 2: Convert to fraction form
    399,395.84/551,162.88 = 220,544/x
  3. Step 3: Cross multiply
    399,395.84x = 551,162.88 × 220,544
  4. Step 4: Simplify right side
    399,395.84x = 121,555,666,206.72
  5. Step 5: Solve for x
    x = 121,555,666,206.72/399,395.84
  6. Step 6: Final answer
    x = 304,348.85

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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.