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Finding the Fourth Proportional to 419,712.84, 579,186.86 and 228,722.13

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Solution

The fourth proportional to 419,712.84, 579,186.86 and 228,722.13 is: 315,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,712.84 : 579,186.86 = 228,722.13 : x
  2. Step 2: Convert to fraction form
    419,712.84/579,186.86 = 228,722.13/x
  3. Step 3: Cross multiply
    419,712.84x = 579,186.86 × 228,722.13
  4. Step 4: Simplify right side
    419,712.84x = 132,472,851,143.60
  5. Step 5: Solve for x
    x = 132,472,851,143.60/419,712.84
  6. Step 6: Final answer
    x = 315,627.35

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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.