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Finding the Fourth Proportional to 510,861.94, 704,905.02 and 309,657.94

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Solution

The fourth proportional to 510,861.94, 704,905.02 and 309,657.94 is: 427,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.94 : 704,905.02 = 309,657.94 : x
  2. Step 2: Convert to fraction form
    510,861.94/704,905.02 = 309,657.94/x
  3. Step 3: Cross multiply
    510,861.94x = 704,905.02 × 309,657.94
  4. Step 4: Simplify right side
    510,861.94x = 218,279,436,388.86
  5. Step 5: Solve for x
    x = 218,279,436,388.86/510,861.94
  6. Step 6: Final answer
    x = 427,276.76

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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.