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Finding the Fourth Proportional to 419,590.35, 579,041.33 and 228,603.69

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Solution

The fourth proportional to 419,590.35, 579,041.33 and 228,603.69 is: 315,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,590.35 : 579,041.33 = 228,603.69 : x
  2. Step 2: Convert to fraction form
    419,590.35/579,041.33 = 228,603.69/x
  3. Step 3: Cross multiply
    419,590.35x = 579,041.33 × 228,603.69
  4. Step 4: Simplify right side
    419,590.35x = 132,370,983,557.49
  5. Step 5: Solve for x
    x = 132,370,983,557.49/419,590.35
  6. Step 6: Final answer
    x = 315,476.71

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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.