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Finding the Fourth Proportional to 427,963.20, 641,653.20 and 203,431.20

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Solution

The fourth proportional to 427,963.20, 641,653.20 and 203,431.20 is: 305,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,963.20 : 641,653.20 = 203,431.20 : x
  2. Step 2: Convert to fraction form
    427,963.20/641,653.20 = 203,431.20/x
  3. Step 3: Cross multiply
    427,963.20x = 641,653.20 × 203,431.20
  4. Step 4: Simplify right side
    427,963.20x = 130,532,280,459.84
  5. Step 5: Solve for x
    x = 130,532,280,459.84/427,963.20
  6. Step 6: Final answer
    x = 305,008.19

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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.