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Finding the Fourth Proportional to 419,843.61, 579,390.21 and 228,857.00

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Solution

The fourth proportional to 419,843.61, 579,390.21 and 228,857.00 is: 315,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,843.61 : 579,390.21 = 228,857.00 : x
  2. Step 2: Convert to fraction form
    419,843.61/579,390.21 = 228,857.00/x
  3. Step 3: Cross multiply
    419,843.61x = 579,390.21 × 228,857.00
  4. Step 4: Simplify right side
    419,843.61x = 132,597,502,393.02
  5. Step 5: Solve for x
    x = 132,597,502,393.02/419,843.61
  6. Step 6: Final answer
    x = 315,825.94

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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.