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Finding the Fourth Proportional to 419,726.81, 579,206.10 and 228,736.10

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Solution

The fourth proportional to 419,726.81, 579,206.10 and 228,736.10 is: 315,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.81 : 579,206.10 = 228,736.10 : x
  2. Step 2: Convert to fraction form
    419,726.81/579,206.10 = 228,736.10/x
  3. Step 3: Cross multiply
    419,726.81x = 579,206.10 × 228,736.10
  4. Step 4: Simplify right side
    419,726.81x = 132,485,342,828.44
  5. Step 5: Solve for x
    x = 132,485,342,828.44/419,726.81
  6. Step 6: Final answer
    x = 315,646.61

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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.