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Finding the Fourth Proportional to 284,261.96, 426,615.78 and 198,313.89

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Solution

The fourth proportional to 284,261.96, 426,615.78 and 198,313.89 is: 297,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,261.96 : 426,615.78 = 198,313.89 : x
  2. Step 2: Convert to fraction form
    284,261.96/426,615.78 = 198,313.89/x
  3. Step 3: Cross multiply
    284,261.96x = 426,615.78 × 198,313.89
  4. Step 4: Simplify right side
    284,261.96x = 84,603,835,295.25
  5. Step 5: Solve for x
    x = 84,603,835,295.25/284,261.96
  6. Step 6: Final answer
    x = 297,626.30

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1.5x scale

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.