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Finding the Fourth Proportional to 285,813.72, 428,737.41 and 96,258.24

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Solution

The fourth proportional to 285,813.72, 428,737.41 and 96,258.24 is: 144,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,813.72 : 428,737.41 = 96,258.24 : x
  2. Step 2: Convert to fraction form
    285,813.72/428,737.41 = 96,258.24/x
  3. Step 3: Cross multiply
    285,813.72x = 428,737.41 × 96,258.24
  4. Step 4: Simplify right side
    285,813.72x = 41,269,508,508.76
  5. Step 5: Solve for x
    x = 41,269,508,508.76/285,813.72
  6. Step 6: Final answer
    x = 144,393.03

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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.