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Finding the Fourth Proportional to 442,083.85, 663,255.15 and 142,558.36

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Solution

The fourth proportional to 442,083.85, 663,255.15 and 142,558.36 is: 213,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,083.85 : 663,255.15 = 142,558.36 : x
  2. Step 2: Convert to fraction form
    442,083.85/663,255.15 = 142,558.36/x
  3. Step 3: Cross multiply
    442,083.85x = 663,255.15 × 142,558.36
  4. Step 4: Simplify right side
    442,083.85x = 94,552,566,445.55
  5. Step 5: Solve for x
    x = 94,552,566,445.55/442,083.85
  6. Step 6: Final answer
    x = 213,879.26

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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.