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Finding the Fourth Proportional to 419,726.18, 579,205.17 and 228,735.47

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Solution

The fourth proportional to 419,726.18, 579,205.17 and 228,735.47 is: 315,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.18 : 579,205.17 = 228,735.47 : x
  2. Step 2: Convert to fraction form
    419,726.18/579,205.17 = 228,735.47/x
  3. Step 3: Cross multiply
    419,726.18x = 579,205.17 × 228,735.47
  4. Step 4: Simplify right side
    419,726.18x = 132,484,763,890.35
  5. Step 5: Solve for x
    x = 132,484,763,890.35/419,726.18
  6. Step 6: Final answer
    x = 315,645.70

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1.5x scale

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.