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Finding the Fourth Proportional to 380,520.96, 525,471.90 and 284,861.58

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Solution

The fourth proportional to 380,520.96, 525,471.90 and 284,861.58 is: 393,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,520.96 : 525,471.90 = 284,861.58 : x
  2. Step 2: Convert to fraction form
    380,520.96/525,471.90 = 284,861.58/x
  3. Step 3: Cross multiply
    380,520.96x = 525,471.90 × 284,861.58
  4. Step 4: Simplify right side
    380,520.96x = 149,686,755,679.60
  5. Step 5: Solve for x
    x = 149,686,755,679.60/380,520.96
  6. Step 6: Final answer
    x = 393,373.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.