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Finding the Fourth Proportional to 419,467.24, 578,863.92 and 228,480.16

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Solution

The fourth proportional to 419,467.24, 578,863.92 and 228,480.16 is: 315,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,467.24 : 578,863.92 = 228,480.16 : x
  2. Step 2: Convert to fraction form
    419,467.24/578,863.92 = 228,480.16/x
  3. Step 3: Cross multiply
    419,467.24x = 578,863.92 × 228,480.16
  4. Step 4: Simplify right side
    419,467.24x = 132,258,921,059.83
  5. Step 5: Solve for x
    x = 132,258,921,059.83/419,467.24
  6. Step 6: Final answer
    x = 315,302.15

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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.