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Finding the Fourth Proportional to 284,778.54, 427,196.85 and 97,765.74

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Solution

The fourth proportional to 284,778.54, 427,196.85 and 97,765.74 is: 146,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.54 : 427,196.85 = 97,765.74 : x
  2. Step 2: Convert to fraction form
    284,778.54/427,196.85 = 97,765.74/x
  3. Step 3: Cross multiply
    284,778.54x = 427,196.85 × 97,765.74
  4. Step 4: Simplify right side
    284,778.54x = 41,765,216,165.92
  5. Step 5: Solve for x
    x = 41,765,216,165.92/284,778.54
  6. Step 6: Final answer
    x = 146,658.58

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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.