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Finding the Fourth Proportional to 510,861.19, 705,010.31 and 284,506.69

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Solution

The fourth proportional to 510,861.19, 705,010.31 and 284,506.69 is: 392,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.19 : 705,010.31 = 284,506.69 : x
  2. Step 2: Convert to fraction form
    510,861.19/705,010.31 = 284,506.69/x
  3. Step 3: Cross multiply
    510,861.19x = 705,010.31 × 284,506.69
  4. Step 4: Simplify right side
    510,861.19x = 200,580,150,425.24
  5. Step 5: Solve for x
    x = 200,580,150,425.24/510,861.19
  6. Step 6: Final answer
    x = 392,631.41

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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.