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Finding the Fourth Proportional to 427,201.83, 640,869.17 and 142,804.35

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Solution

The fourth proportional to 427,201.83, 640,869.17 and 142,804.35 is: 214,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,201.83 : 640,869.17 = 142,804.35 : x
  2. Step 2: Convert to fraction form
    427,201.83/640,869.17 = 142,804.35/x
  3. Step 3: Cross multiply
    427,201.83x = 640,869.17 × 142,804.35
  4. Step 4: Simplify right side
    427,201.83x = 91,518,904,542.87
  5. Step 5: Solve for x
    x = 91,518,904,542.87/427,201.83
  6. Step 6: Final answer
    x = 214,228.73

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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.