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Finding the Fourth Proportional to 510,912.56, 705,059.44 and 284,558.06

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Solution

The fourth proportional to 510,912.56, 705,059.44 and 284,558.06 is: 392,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,912.56 : 705,059.44 = 284,558.06 : x
  2. Step 2: Convert to fraction form
    510,912.56/705,059.44 = 284,558.06/x
  3. Step 3: Cross multiply
    510,912.56x = 705,059.44 × 284,558.06
  4. Step 4: Simplify right side
    510,912.56x = 200,630,347,482.34
  5. Step 5: Solve for x
    x = 200,630,347,482.34/510,912.56
  6. Step 6: Final answer
    x = 392,690.18

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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.