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Finding the Fourth Proportional to 361,064, 498,285.44 and 217,820.97

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Solution

The fourth proportional to 361,064, 498,285.44 and 217,820.97 is: 300,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,064 : 498,285.44 = 217,820.97 : x
  2. Step 2: Convert to fraction form
    361,064/498,285.44 = 217,820.97/x
  3. Step 3: Cross multiply
    361,064x = 498,285.44 × 217,820.97
  4. Step 4: Simplify right side
    361,064x = 108,537,017,877.68
  5. Step 5: Solve for x
    x = 108,537,017,877.68/361,064
  6. Step 6: Final answer
    x = 300,603.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.