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Finding the Fourth Proportional to 419,739.72, 579,239.78 and 228,752.80

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Solution

The fourth proportional to 419,739.72, 579,239.78 and 228,752.80 is: 315,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,739.72 : 579,239.78 = 228,752.80 : x
  2. Step 2: Convert to fraction form
    419,739.72/579,239.78 = 228,752.80/x
  3. Step 3: Cross multiply
    419,739.72x = 579,239.78 × 228,752.80
  4. Step 4: Simplify right side
    419,739.72x = 132,502,721,546.38
  5. Step 5: Solve for x
    x = 132,502,721,546.38/419,739.72
  6. Step 6: Final answer
    x = 315,678.30

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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.