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Finding the Fourth Proportional to 285,986.70, 428,850.45 and 108,434.70

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Solution

The fourth proportional to 285,986.70, 428,850.45 and 108,434.70 is: 162,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,986.70 : 428,850.45 = 108,434.70 : x
  2. Step 2: Convert to fraction form
    285,986.70/428,850.45 = 108,434.70/x
  3. Step 3: Cross multiply
    285,986.70x = 428,850.45 × 108,434.70
  4. Step 4: Simplify right side
    285,986.70x = 46,502,269,890.62
  5. Step 5: Solve for x
    x = 46,502,269,890.62/285,986.70
  6. Step 6: Final answer
    x = 162,602.91

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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.