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Finding the Fourth Proportional to 503,917.22, 695,353.83 and 310,294.10

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Solution

The fourth proportional to 503,917.22, 695,353.83 and 310,294.10 is: 428,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,917.22 : 695,353.83 = 310,294.10 : x
  2. Step 2: Convert to fraction form
    503,917.22/695,353.83 = 310,294.10/x
  3. Step 3: Cross multiply
    503,917.22x = 695,353.83 × 310,294.10
  4. Step 4: Simplify right side
    503,917.22x = 215,764,190,861.40
  5. Step 5: Solve for x
    x = 215,764,190,861.40/503,917.22
  6. Step 6: Final answer
    x = 428,173.88

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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.