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Finding the Fourth Proportional to 427,358.64, 641,256.66 and 174,825.75

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Solution

The fourth proportional to 427,358.64, 641,256.66 and 174,825.75 is: 262,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,358.64 : 641,256.66 = 174,825.75 : x
  2. Step 2: Convert to fraction form
    427,358.64/641,256.66 = 174,825.75/x
  3. Step 3: Cross multiply
    427,358.64x = 641,256.66 × 174,825.75
  4. Step 4: Simplify right side
    427,358.64x = 112,108,172,446.58
  5. Step 5: Solve for x
    x = 112,108,172,446.58/427,358.64
  6. Step 6: Final answer
    x = 262,328.09

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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.