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Finding the Fourth Proportional to 419,713.17, 579,204.27 and 228,726.60

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Solution

The fourth proportional to 419,713.17, 579,204.27 and 228,726.60 is: 315,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,713.17 : 579,204.27 = 228,726.60 : x
  2. Step 2: Convert to fraction form
    419,713.17/579,204.27 = 228,726.60/x
  3. Step 3: Cross multiply
    419,713.17x = 579,204.27 × 228,726.60
  4. Step 4: Simplify right side
    419,713.17x = 132,479,423,382.58
  5. Step 5: Solve for x
    x = 132,479,423,382.58/419,713.17
  6. Step 6: Final answer
    x = 315,642.76

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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.