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Finding the Fourth Proportional to 228,976.20, 316,143.54 and 143,065.98

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Solution

The fourth proportional to 228,976.20, 316,143.54 and 143,065.98 is: 197,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,976.20 : 316,143.54 = 143,065.98 : x
  2. Step 2: Convert to fraction form
    228,976.20/316,143.54 = 143,065.98/x
  3. Step 3: Cross multiply
    228,976.20x = 316,143.54 × 143,065.98
  4. Step 4: Simplify right side
    228,976.20x = 45,229,385,370.77
  5. Step 5: Solve for x
    x = 45,229,385,370.77/228,976.20
  6. Step 6: Final answer
    x = 197,528.76

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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.