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Finding the Fourth Proportional to 442,893.90, 664,340.85 and 285,429.90

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Solution

The fourth proportional to 442,893.90, 664,340.85 and 285,429.90 is: 428,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,893.90 : 664,340.85 = 285,429.90 : x
  2. Step 2: Convert to fraction form
    442,893.90/664,340.85 = 285,429.90/x
  3. Step 3: Cross multiply
    442,893.90x = 664,340.85 × 285,429.90
  4. Step 4: Simplify right side
    442,893.90x = 189,622,742,381.42
  5. Step 5: Solve for x
    x = 189,622,742,381.42/442,893.90
  6. Step 6: Final answer
    x = 428,144.85

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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.