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Finding the Fourth Proportional to 427,356.77, 641,253.84 and 174,823.88

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Solution

The fourth proportional to 427,356.77, 641,253.84 and 174,823.88 is: 262,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,356.77 : 641,253.84 = 174,823.88 : x
  2. Step 2: Convert to fraction form
    427,356.77/641,253.84 = 174,823.88/x
  3. Step 3: Cross multiply
    427,356.77x = 641,253.84 × 174,823.88
  4. Step 4: Simplify right side
    427,356.77x = 112,106,481,167.43
  5. Step 5: Solve for x
    x = 112,106,481,167.43/427,356.77
  6. Step 6: Final answer
    x = 262,325.28

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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.