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Finding the Fourth Proportional to 419,714.17, 579,205.65 and 228,727.60

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Solution

The fourth proportional to 419,714.17, 579,205.65 and 228,727.60 is: 315,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,714.17 : 579,205.65 = 228,727.60 : x
  2. Step 2: Convert to fraction form
    419,714.17/579,205.65 = 228,727.60/x
  3. Step 3: Cross multiply
    419,714.17x = 579,205.65 × 228,727.60
  4. Step 4: Simplify right side
    419,714.17x = 132,480,318,230.94
  5. Step 5: Solve for x
    x = 132,480,318,230.94/419,714.17
  6. Step 6: Final answer
    x = 315,644.14

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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.