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Finding the Fourth Proportional to 419,482.62, 578,891.07 and 228,497.58

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Solution

The fourth proportional to 419,482.62, 578,891.07 and 228,497.58 is: 315,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,482.62 : 578,891.07 = 228,497.58 : x
  2. Step 2: Convert to fraction form
    419,482.62/578,891.07 = 228,497.58/x
  3. Step 3: Cross multiply
    419,482.62x = 578,891.07 × 228,497.58
  4. Step 4: Simplify right side
    419,482.62x = 132,275,208,578.61
  5. Step 5: Solve for x
    x = 132,275,208,578.61/419,482.62
  6. Step 6: Final answer
    x = 315,329.41

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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.