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Finding the Fourth Proportional to 427,464.68, 641,373.64 and 187,454.39

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Solution

The fourth proportional to 427,464.68, 641,373.64 and 187,454.39 is: 281,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,464.68 : 641,373.64 = 187,454.39 : x
  2. Step 2: Convert to fraction form
    427,464.68/641,373.64 = 187,454.39/x
  3. Step 3: Cross multiply
    427,464.68x = 641,373.64 × 187,454.39
  4. Step 4: Simplify right side
    427,464.68x = 120,228,300,772.78
  5. Step 5: Solve for x
    x = 120,228,300,772.78/427,464.68
  6. Step 6: Final answer
    x = 281,259.03

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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.