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Finding the Fourth Proportional to 419,730.25, 579,210.84 and 228,739.54

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Solution

The fourth proportional to 419,730.25, 579,210.84 and 228,739.54 is: 315,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,730.25 : 579,210.84 = 228,739.54 : x
  2. Step 2: Convert to fraction form
    419,730.25/579,210.84 = 228,739.54/x
  3. Step 3: Cross multiply
    419,730.25x = 579,210.84 × 228,739.54
  4. Step 4: Simplify right side
    419,730.25x = 132,488,421,104.61
  5. Step 5: Solve for x
    x = 132,488,421,104.61/419,730.25
  6. Step 6: Final answer
    x = 315,651.35

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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.