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Finding the Fourth Proportional to 419,691.84, 579,173.86 and 228,704.77

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Solution

The fourth proportional to 419,691.84, 579,173.86 and 228,704.77 is: 315,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,691.84 : 579,173.86 = 228,704.77 : x
  2. Step 2: Convert to fraction form
    419,691.84/579,173.86 = 228,704.77/x
  3. Step 3: Cross multiply
    419,691.84x = 579,173.86 × 228,704.77
  4. Step 4: Simplify right side
    419,691.84x = 132,459,824,441.31
  5. Step 5: Solve for x
    x = 132,459,824,441.31/419,691.84
  6. Step 6: Final answer
    x = 315,612.10

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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.