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Finding the Fourth Proportional to 311,956.20, 468,009.90 and 90,340.20

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Solution

The fourth proportional to 311,956.20, 468,009.90 and 90,340.20 is: 135,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.20 : 468,009.90 = 90,340.20 : x
  2. Step 2: Convert to fraction form
    311,956.20/468,009.90 = 90,340.20/x
  3. Step 3: Cross multiply
    311,956.20x = 468,009.90 × 90,340.20
  4. Step 4: Simplify right side
    311,956.20x = 42,280,107,967.98
  5. Step 5: Solve for x
    x = 42,280,107,967.98/311,956.20
  6. Step 6: Final answer
    x = 135,532.19

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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.