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Finding the Fourth Proportional to 285,362.70, 427,917.78 and 85,644.69

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Solution

The fourth proportional to 285,362.70, 427,917.78 and 85,644.69 is: 128,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,362.70 : 427,917.78 = 85,644.69 : x
  2. Step 2: Convert to fraction form
    285,362.70/427,917.78 = 85,644.69/x
  3. Step 3: Cross multiply
    285,362.70x = 427,917.78 × 85,644.69
  4. Step 4: Simplify right side
    285,362.70x = 36,648,885,613.59
  5. Step 5: Solve for x
    x = 36,648,885,613.59/285,362.70
  6. Step 6: Final answer
    x = 128,429.14

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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.