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Finding the Fourth Proportional to 427,356.76, 641,253.84 and 174,823.87

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Solution

The fourth proportional to 427,356.76, 641,253.84 and 174,823.87 is: 262,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,356.76 : 641,253.84 = 174,823.87 : x
  2. Step 2: Convert to fraction form
    427,356.76/641,253.84 = 174,823.87/x
  3. Step 3: Cross multiply
    427,356.76x = 641,253.84 × 174,823.87
  4. Step 4: Simplify right side
    427,356.76x = 112,106,476,358.03
  5. Step 5: Solve for x
    x = 112,106,476,358.03/427,356.76
  6. Step 6: Final answer
    x = 262,325.27

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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.