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Finding the Fourth Proportional to 311,989.76, 468,042.96 and 125,015.84

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Solution

The fourth proportional to 311,989.76, 468,042.96 and 125,015.84 is: 187,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,989.76 : 468,042.96 = 125,015.84 : x
  2. Step 2: Convert to fraction form
    311,989.76/468,042.96 = 125,015.84/x
  3. Step 3: Cross multiply
    311,989.76x = 468,042.96 × 125,015.84
  4. Step 4: Simplify right side
    311,989.76x = 58,512,783,800.49
  5. Step 5: Solve for x
    x = 58,512,783,800.49/311,989.76
  6. Step 6: Final answer
    x = 187,547.13

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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.