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Finding the Fourth Proportional to 427,219.56, 640,893.04 and 157,326.94

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Solution

The fourth proportional to 427,219.56, 640,893.04 and 157,326.94 is: 236,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,219.56 : 640,893.04 = 157,326.94 : x
  2. Step 2: Convert to fraction form
    427,219.56/640,893.04 = 157,326.94/x
  3. Step 3: Cross multiply
    427,219.56x = 640,893.04 × 157,326.94
  4. Step 4: Simplify right side
    427,219.56x = 100,829,740,850.50
  5. Step 5: Solve for x
    x = 100,829,740,850.50/427,219.56
  6. Step 6: Final answer
    x = 236,013.87

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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.