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Finding the Fourth Proportional to 427,037.83, 640,583.16 and 142,753.96

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Solution

The fourth proportional to 427,037.83, 640,583.16 and 142,753.96 is: 214,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,037.83 : 640,583.16 = 142,753.96 : x
  2. Step 2: Convert to fraction form
    427,037.83/640,583.16 = 142,753.96/x
  3. Step 3: Cross multiply
    427,037.83x = 640,583.16 × 142,753.96
  4. Step 4: Simplify right side
    427,037.83x = 91,445,782,799.31
  5. Step 5: Solve for x
    x = 91,445,782,799.31/427,037.83
  6. Step 6: Final answer
    x = 214,139.77

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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.