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Finding the Fourth Proportional to 311,921, 430,493.10 and 175,982.84

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Solution

The fourth proportional to 311,921, 430,493.10 and 175,982.84 is: 242,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921 : 430,493.10 = 175,982.84 : x
  2. Step 2: Convert to fraction form
    311,921/430,493.10 = 175,982.84/x
  3. Step 3: Cross multiply
    311,921x = 430,493.10 × 175,982.84
  4. Step 4: Simplify right side
    311,921x = 75,759,398,338.40
  5. Step 5: Solve for x
    x = 75,759,398,338.40/311,921
  6. Step 6: Final answer
    x = 242,880.08

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1.5x scale

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.