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Finding the Fourth Proportional to 228,403.98, 315,288.18 and 154,833.30

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Solution

The fourth proportional to 228,403.98, 315,288.18 and 154,833.30 is: 213,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,403.98 : 315,288.18 = 154,833.30 : x
  2. Step 2: Convert to fraction form
    228,403.98/315,288.18 = 154,833.30/x
  3. Step 3: Cross multiply
    228,403.98x = 315,288.18 × 154,833.30
  4. Step 4: Simplify right side
    228,403.98x = 48,817,109,360.39
  5. Step 5: Solve for x
    x = 48,817,109,360.39/228,403.98
  6. Step 6: Final answer
    x = 213,731.43

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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.