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Finding the Fourth Proportional to 419,715.68, 579,207.72 and 228,729.10

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Solution

The fourth proportional to 419,715.68, 579,207.72 and 228,729.10 is: 315,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.68 : 579,207.72 = 228,729.10 : x
  2. Step 2: Convert to fraction form
    419,715.68/579,207.72 = 228,729.10/x
  3. Step 3: Cross multiply
    419,715.68x = 579,207.72 × 228,729.10
  4. Step 4: Simplify right side
    419,715.68x = 132,481,660,508.65
  5. Step 5: Solve for x
    x = 132,481,660,508.65/419,715.68
  6. Step 6: Final answer
    x = 315,646.20

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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.