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Finding the Fourth Proportional to 424,098.20, 636,147.30 and 405,896.60

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Solution

The fourth proportional to 424,098.20, 636,147.30 and 405,896.60 is: 608,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098.20 : 636,147.30 = 405,896.60 : x
  2. Step 2: Convert to fraction form
    424,098.20/636,147.30 = 405,896.60/x
  3. Step 3: Cross multiply
    424,098.20x = 636,147.30 × 405,896.60
  4. Step 4: Simplify right side
    424,098.20x = 258,210,026,169.18
  5. Step 5: Solve for x
    x = 258,210,026,169.18/424,098.20
  6. Step 6: Final answer
    x = 608,844.90

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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.