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Finding the Fourth Proportional to 311,973.15, 468,011.46 and 109,516.76

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Solution

The fourth proportional to 311,973.15, 468,011.46 and 109,516.76 is: 164,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,973.15 : 468,011.46 = 109,516.76 : x
  2. Step 2: Convert to fraction form
    311,973.15/468,011.46 = 109,516.76/x
  3. Step 3: Cross multiply
    311,973.15x = 468,011.46 × 109,516.76
  4. Step 4: Simplify right side
    311,973.15x = 51,255,096,402.01
  5. Step 5: Solve for x
    x = 51,255,096,402.01/311,973.15
  6. Step 6: Final answer
    x = 164,293.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.