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Finding the Fourth Proportional to 311,704.20, 430,130.20 and 175,743

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Solution

The fourth proportional to 311,704.20, 430,130.20 and 175,743 is: 242,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,704.20 : 430,130.20 = 175,743 : x
  2. Step 2: Convert to fraction form
    311,704.20/430,130.20 = 175,743/x
  3. Step 3: Cross multiply
    311,704.20x = 430,130.20 × 175,743
  4. Step 4: Simplify right side
    311,704.20x = 75,592,371,738.60
  5. Step 5: Solve for x
    x = 75,592,371,738.60/311,704.20
  6. Step 6: Final answer
    x = 242,513.16

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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.