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Finding the Fourth Proportional to 285,564.10, 427,424.55 and 263,445.70

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Solution

The fourth proportional to 285,564.10, 427,424.55 and 263,445.70 is: 394,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.10 : 427,424.55 = 263,445.70 : x
  2. Step 2: Convert to fraction form
    285,564.10/427,424.55 = 263,445.70/x
  3. Step 3: Cross multiply
    285,564.10x = 427,424.55 × 263,445.70
  4. Step 4: Simplify right side
    285,564.10x = 112,603,159,771.94
  5. Step 5: Solve for x
    x = 112,603,159,771.94/285,564.10
  6. Step 6: Final answer
    x = 394,318.33

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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.