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Finding the Fourth Proportional to 285,395.82, 427,762.17 and 107,789.82

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Solution

The fourth proportional to 285,395.82, 427,762.17 and 107,789.82 is: 161,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,395.82 : 427,762.17 = 107,789.82 : x
  2. Step 2: Convert to fraction form
    285,395.82/427,762.17 = 107,789.82/x
  3. Step 3: Cross multiply
    285,395.82x = 427,762.17 × 107,789.82
  4. Step 4: Simplify right side
    285,395.82x = 46,108,407,307.11
  5. Step 5: Solve for x
    x = 46,108,407,307.11/285,395.82
  6. Step 6: Final answer
    x = 161,559.50

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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.