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Finding the Fourth Proportional to 419,632.67, 579,093.15 and 228,646.08

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Solution

The fourth proportional to 419,632.67, 579,093.15 and 228,646.08 is: 315,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,632.67 : 579,093.15 = 228,646.08 : x
  2. Step 2: Convert to fraction form
    419,632.67/579,093.15 = 228,646.08/x
  3. Step 3: Cross multiply
    419,632.67x = 579,093.15 × 228,646.08
  4. Step 4: Simplify right side
    419,632.67x = 132,407,378,702.35
  5. Step 5: Solve for x
    x = 132,407,378,702.35/419,632.67
  6. Step 6: Final answer
    x = 315,531.63

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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.