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Finding the Fourth Proportional to 419,712.56, 579,186.48 and 228,721.92

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Solution

The fourth proportional to 419,712.56, 579,186.48 and 228,721.92 is: 315,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,712.56 : 579,186.48 = 228,721.92 : x
  2. Step 2: Convert to fraction form
    419,712.56/579,186.48 = 228,721.92/x
  3. Step 3: Cross multiply
    419,712.56x = 579,186.48 × 228,721.92
  4. Step 4: Simplify right side
    419,712.56x = 132,472,643,743.64
  5. Step 5: Solve for x
    x = 132,472,643,743.64/419,712.56
  6. Step 6: Final answer
    x = 315,627.07

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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.