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Finding the Fourth Proportional to 419,716.68, 579,209.10 and 228,730.10

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Solution

The fourth proportional to 419,716.68, 579,209.10 and 228,730.10 is: 315,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,716.68 : 579,209.10 = 228,730.10 : x
  2. Step 2: Convert to fraction form
    419,716.68/579,209.10 = 228,730.10/x
  3. Step 3: Cross multiply
    419,716.68x = 579,209.10 × 228,730.10
  4. Step 4: Simplify right side
    419,716.68x = 132,482,555,363.91
  5. Step 5: Solve for x
    x = 132,482,555,363.91/419,716.68
  6. Step 6: Final answer
    x = 315,647.58

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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.