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Finding the Fourth Proportional to 419,722.64, 579,209.48 and 228,737.36

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Solution

The fourth proportional to 419,722.64, 579,209.48 and 228,737.36 is: 315,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,722.64 : 579,209.48 = 228,737.36 : x
  2. Step 2: Convert to fraction form
    419,722.64/579,209.48 = 228,737.36/x
  3. Step 3: Cross multiply
    419,722.64x = 579,209.48 × 228,737.36
  4. Step 4: Simplify right side
    419,722.64x = 132,486,847,342.17
  5. Step 5: Solve for x
    x = 132,486,847,342.17/419,722.64
  6. Step 6: Final answer
    x = 315,653.33

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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.