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Finding the Fourth Proportional to 510,861.12, 705,010.22 and 284,506.62

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Solution

The fourth proportional to 510,861.12, 705,010.22 and 284,506.62 is: 392,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.12 : 705,010.22 = 284,506.62 : x
  2. Step 2: Convert to fraction form
    510,861.12/705,010.22 = 284,506.62/x
  3. Step 3: Cross multiply
    510,861.12x = 705,010.22 × 284,506.62
  4. Step 4: Simplify right side
    510,861.12x = 200,580,074,757.66
  5. Step 5: Solve for x
    x = 200,580,074,757.66/510,861.12
  6. Step 6: Final answer
    x = 392,631.32

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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.